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Simplifying 9x2 + 32x + -4 = 3x2 + 11x + -4 Reorder the terms: -4 + 32x + 9x2 = 3x2 + 11x + -4 Reorder the terms: -4 + 32x + 9x2 = -4 + 11x + 3x2 Add '4' to each side of the equation. -4 + 32x + 4 + 9x2 = -4 + 11x + 4 + 3x2 Reorder the terms: -4 + 4 + 32x + 9x2 = -4 + 11x + 4 + 3x2 Combine like terms: -4 + 4 = 0 0 + 32x + 9x2 = -4 + 11x + 4 + 3x2 32x + 9x2 = -4 + 11x + 4 + 3x2 Reorder the terms: 32x + 9x2 = -4 + 4 + 11x + 3x2 Combine like terms: -4 + 4 = 0 32x + 9x2 = 0 + 11x + 3x2 32x + 9x2 = 11x + 3x2 Solving 32x + 9x2 = 11x + 3x2 Solving for variable 'x'. Reorder the terms: 32x + -11x + 9x2 + -3x2 = 11x + 3x2 + -11x + -3x2 Combine like terms: 32x + -11x = 21x 21x + 9x2 + -3x2 = 11x + 3x2 + -11x + -3x2 Combine like terms: 9x2 + -3x2 = 6x2 21x + 6x2 = 11x + 3x2 + -11x + -3x2 Reorder the terms: 21x + 6x2 = 11x + -11x + 3x2 + -3x2 Combine like terms: 11x + -11x = 0 21x + 6x2 = 0 + 3x2 + -3x2 21x + 6x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 21x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(7 + 2x) = 0 Ignore the factor 3.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 '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {0, -3.5}
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