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Simplifying A(x) = 4x2 + 20x Multiply A * x xA = 4x2 + 20x Reorder the terms: xA = 20x + 4x2 Solving xA = 20x + 4x2 Solving for variable 'x'. Reorder the terms: -20x + xA + -4x2 = 20x + 4x2 + -20x + -4x2 Reorder the terms: -20x + xA + -4x2 = 20x + -20x + 4x2 + -4x2 Combine like terms: 20x + -20x = 0 -20x + xA + -4x2 = 0 + 4x2 + -4x2 -20x + xA + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -20x + xA + -4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + A + -4x) = 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 '(-20 + A + -4x)' equal to zero and attempt to solve: Simplifying -20 + A + -4x = 0 Solving -20 + A + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + A + 20 + -4x = 0 + 20 Reorder the terms: -20 + 20 + A + -4x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + A + -4x = 0 + 20 A + -4x = 0 + 20 Combine like terms: 0 + 20 = 20 A + -4x = 20 Add '-1A' to each side of the equation. A + -1A + -4x = 20 + -1A Combine like terms: A + -1A = 0 0 + -4x = 20 + -1A -4x = 20 + -1A Divide each side by '-4'. x = -5 + 0.25A Simplifying x = -5 + 0.25ASolution
x = {0, -5 + 0.25A}
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