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Simplifying 4x2 = qx2 Solving 4x2 = qx2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1qx2' to each side of the equation. -1qx2 + 4x2 = qx2 + -1qx2 Combine like terms: qx2 + -1qx2 = 0 -1qx2 + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-1q + 4) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-1q + 4)' equal to zero and attempt to solve: Simplifying -1q + 4 = 0 Reorder the terms: 4 + -1q = 0 Solving 4 + -1q = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1q = 0 + -4 -1q = 0 + -4 Combine like terms: 0 + -4 = -4 -1q = -4 Add 'q' to each side of the equation. -1q + q = -4 + q Combine like terms: -1q + q = 0 0 = -4 + q Simplifying 0 = -4 + q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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