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Simplifying x(920 + -2x) = A(x) (920 * x + -2x * x) = A(x) (920x + -2x2) = A(x) Multiply A * x 920x + -2x2 = xA Solving 920x + -2x2 = xA Solving for variable 'x'. Reorder the terms: 920x + -1xA + -2x2 = xA + -1xA Combine like terms: xA + -1xA = 0 920x + -1xA + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(920 + -1A + -2x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(920 + -1A + -2x)' equal to zero and attempt to solve: Simplifying 920 + -1A + -2x = 0 Solving 920 + -1A + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-920' to each side of the equation. 920 + -1A + -920 + -2x = 0 + -920 Reorder the terms: 920 + -920 + -1A + -2x = 0 + -920 Combine like terms: 920 + -920 = 0 0 + -1A + -2x = 0 + -920 -1A + -2x = 0 + -920 Combine like terms: 0 + -920 = -920 -1A + -2x = -920 Add 'A' to each side of the equation. -1A + A + -2x = -920 + A Combine like terms: -1A + A = 0 0 + -2x = -920 + A -2x = -920 + A Divide each side by '-2'. x = 460 + -0.5A Simplifying x = 460 + -0.5ASolution
x = {0, 460 + -0.5A}
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