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Simplifying 2x = 7x2 + -9x + 8x2 Reorder the terms: 2x = -9x + 7x2 + 8x2 Combine like terms: 7x2 + 8x2 = 15x2 2x = -9x + 15x2 Solving 2x = -9x + 15x2 Solving for variable 'x'. Combine like terms: 2x + 9x = 11x 11x + -15x2 = -9x + 15x2 + 9x + -15x2 Reorder the terms: 11x + -15x2 = -9x + 9x + 15x2 + -15x2 Combine like terms: -9x + 9x = 0 11x + -15x2 = 0 + 15x2 + -15x2 11x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 11x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + -15x) = 0Subproblem 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 '(11 + -15x)' equal to zero and attempt to solve: Simplifying 11 + -15x = 0 Solving 11 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -15x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -15x = 0 + -11 -15x = 0 + -11 Combine like terms: 0 + -11 = -11 -15x = -11 Divide each side by '-15'. x = 0.7333333333 Simplifying x = 0.7333333333Solution
x = {0, 0.7333333333}
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