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Simplifying -8x2 + -6 * 11x + 9x2 + -14x = 0 Multiply -6 * 11 -8x2 + -66x + 9x2 + -14x = 0 Reorder the terms: -66x + -14x + -8x2 + 9x2 = 0 Combine like terms: -66x + -14x = -80x -80x + -8x2 + 9x2 = 0 Combine like terms: -8x2 + 9x2 = 1x2 -80x + 1x2 = 0 Solving -80x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-80 + x) = 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 '(-80 + x)' equal to zero and attempt to solve: Simplifying -80 + x = 0 Solving -80 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + x = 0 + 80 x = 0 + 80 Combine like terms: 0 + 80 = 80 x = 80 Simplifying x = 80Solution
x = {0, 80}
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