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Simplifying 9x2 + 5x + 6x2 = 18x2 + -7x Reorder the terms: 5x + 9x2 + 6x2 = 18x2 + -7x Combine like terms: 9x2 + 6x2 = 15x2 5x + 15x2 = 18x2 + -7x Reorder the terms: 5x + 15x2 = -7x + 18x2 Solving 5x + 15x2 = -7x + 18x2 Solving for variable 'x'. Reorder the terms: 5x + 7x + 15x2 + -18x2 = -7x + 18x2 + 7x + -18x2 Combine like terms: 5x + 7x = 12x 12x + 15x2 + -18x2 = -7x + 18x2 + 7x + -18x2 Combine like terms: 15x2 + -18x2 = -3x2 12x + -3x2 = -7x + 18x2 + 7x + -18x2 Reorder the terms: 12x + -3x2 = -7x + 7x + 18x2 + -18x2 Combine like terms: -7x + 7x = 0 12x + -3x2 = 0 + 18x2 + -18x2 12x + -3x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 12x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, 4}
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