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Simplifying 3(3x2) = x2(x + -4) + 2x2 Remove parenthesis around (3x2) 3 * 3x2 = x2(x + -4) + 2x2 Multiply 3 * 3 9x2 = x2(x + -4) + 2x2 Reorder the terms: 9x2 = x2(-4 + x) + 2x2 9x2 = (-4 * x2 + x * x2) + 2x2 9x2 = (-4x2 + x3) + 2x2 Reorder the terms: 9x2 = -4x2 + 2x2 + x3 Combine like terms: -4x2 + 2x2 = -2x2 9x2 = -2x2 + x3 Solving 9x2 = -2x2 + x3 Solving for variable 'x'. Combine like terms: 9x2 + 2x2 = 11x2 11x2 + -1x3 = -2x2 + x3 + 2x2 + -1x3 Reorder the terms: 11x2 + -1x3 = -2x2 + 2x2 + x3 + -1x3 Combine like terms: -2x2 + 2x2 = 0 11x2 + -1x3 = 0 + x3 + -1x3 11x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 11x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(11 + -1x) = 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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {0, 11}
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