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Simplifying 4x2 + 9x = -2x2 + -6x Reorder the terms: 9x + 4x2 = -2x2 + -6x Reorder the terms: 9x + 4x2 = -6x + -2x2 Solving 9x + 4x2 = -6x + -2x2 Solving for variable 'x'. Reorder the terms: 9x + 6x + 4x2 + 2x2 = -6x + -2x2 + 6x + 2x2 Combine like terms: 9x + 6x = 15x 15x + 4x2 + 2x2 = -6x + -2x2 + 6x + 2x2 Combine like terms: 4x2 + 2x2 = 6x2 15x + 6x2 = -6x + -2x2 + 6x + 2x2 Reorder the terms: 15x + 6x2 = -6x + 6x + -2x2 + 2x2 Combine like terms: -6x + 6x = 0 15x + 6x2 = 0 + -2x2 + 2x2 15x + 6x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 15x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(5 + 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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {0, -2.5}
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