Make any variable the subject of a formula. Enter an equation and choose which variable to solve for — get step-by-step solutions.
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Rearranging a formula means rewriting it so a different variable is alone on one side. For example, rearranging v = u + at for t gives t = (v - u) / a.
To isolate a variable, undo operations in reverse order. If the variable is added, subtract. If multiplied, divide. If squared, take the square root.
v = u + at, s = ut + 0.5at^2, F = ma, E = mc^2, PV = nRT. Rearranging these for different variables is a core physics and algebra skill.
Whatever you do to one side, do to the other. This keeps the equation true while isolating your target variable step by step.
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Math.Photos solves any math problem from a screenshot — algebra, calculus, geometry, statistics, and more. With step-by-step explanations.
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To make a variable the subject: (1) Identify where the target variable appears, (2) Use inverse operations to undo each operation on the variable, (3) Apply the same operation to both sides. For example, to make t the subject of v = u + at: subtract u from both sides to get v - u = at, then divide by a to get t = (v - u) / a.
If the variable is squared, isolate the squared term first, then take the square root. For E = mc^2, to solve for c: divide both sides by m to get c^2 = E/m, then c = sqrt(E/m).
Multiply both sides by the denominator to remove the fraction. For s = d/t, to solve for t: multiply both sides by t to get st = d, then divide by s to get t = d/s.
Collect all terms containing the variable on one side, factor the variable out, then divide. For example, if ax + b = cx + d, subtract cx from both sides: (a-c)x + b = d, subtract b: (a-c)x = d - b, divide: x = (d-b)/(a-c).