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Simplifying 6x2 + -4x = 8x2 + 5x Reorder the terms: -4x + 6x2 = 8x2 + 5x Reorder the terms: -4x + 6x2 = 5x + 8x2 Solving -4x + 6x2 = 5x + 8x2 Solving for variable 'x'. Reorder the terms: -4x + -5x + 6x2 + -8x2 = 5x + 8x2 + -5x + -8x2 Combine like terms: -4x + -5x = -9x -9x + 6x2 + -8x2 = 5x + 8x2 + -5x + -8x2 Combine like terms: 6x2 + -8x2 = -2x2 -9x + -2x2 = 5x + 8x2 + -5x + -8x2 Reorder the terms: -9x + -2x2 = 5x + -5x + 8x2 + -8x2 Combine like terms: 5x + -5x = 0 -9x + -2x2 = 0 + 8x2 + -8x2 -9x + -2x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -9x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(9 + 2x) = 0 Ignore the factor -1.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 '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {0, -4.5}
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