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Simplifying 2x2 + 6x = 9x2 + -15x Reorder the terms: 6x + 2x2 = 9x2 + -15x Reorder the terms: 6x + 2x2 = -15x + 9x2 Solving 6x + 2x2 = -15x + 9x2 Solving for variable 'x'. Reorder the terms: 6x + 15x + 2x2 + -9x2 = -15x + 9x2 + 15x + -9x2 Combine like terms: 6x + 15x = 21x 21x + 2x2 + -9x2 = -15x + 9x2 + 15x + -9x2 Combine like terms: 2x2 + -9x2 = -7x2 21x + -7x2 = -15x + 9x2 + 15x + -9x2 Reorder the terms: 21x + -7x2 = -15x + 15x + 9x2 + -9x2 Combine like terms: -15x + 15x = 0 21x + -7x2 = 0 + 9x2 + -9x2 21x + -7x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 21x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(3 + -1x) = 0 Ignore the factor 7.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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 3}
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