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Simplifying (4x + 9) + -1(-3x * -3x + -5x + 9) = 0 Reorder the terms: (9 + 4x) + -1(-3x * -3x + -5x + 9) = 0 Remove parenthesis around (9 + 4x) 9 + 4x + -1(-3x * -3x + -5x + 9) = 0 Reorder the terms for easier multiplication: 9 + 4x + -1(-3 * -3x * x + -5x + 9) = 0 Multiply -3 * -3 9 + 4x + -1(9x * x + -5x + 9) = 0 Multiply x * x 9 + 4x + -1(9x2 + -5x + 9) = 0 Reorder the terms: 9 + 4x + -1(9 + -5x + 9x2) = 0 9 + 4x + (9 * -1 + -5x * -1 + 9x2 * -1) = 0 9 + 4x + (-9 + 5x + -9x2) = 0 Reorder the terms: 9 + -9 + 4x + 5x + -9x2 = 0 Combine like terms: 9 + -9 = 0 0 + 4x + 5x + -9x2 = 0 4x + 5x + -9x2 = 0 Combine like terms: 4x + 5x = 9x 9x + -9x2 = 0 Solving 9x + -9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x'. 9x(1 + -1x) = 0 Ignore the factor 9.Subproblem 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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