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Simplifying (8x2 + -7x) + -1(2x + -3x2) = 0 Reorder the terms: (-7x + 8x2) + -1(2x + -3x2) = 0 Remove parenthesis around (-7x + 8x2) -7x + 8x2 + -1(2x + -3x2) = 0 -7x + 8x2 + (2x * -1 + -3x2 * -1) = 0 -7x + 8x2 + (-2x + 3x2) = 0 Reorder the terms: -7x + -2x + 8x2 + 3x2 = 0 Combine like terms: -7x + -2x = -9x -9x + 8x2 + 3x2 = 0 Combine like terms: 8x2 + 3x2 = 11x2 -9x + 11x2 = 0 Solving -9x + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 11x) = 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 '(-9 + 11x)' equal to zero and attempt to solve: Simplifying -9 + 11x = 0 Solving -9 + 11x = 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 + 11x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 0 + 9 11x = 0 + 9 Combine like terms: 0 + 9 = 9 11x = 9 Divide each side by '11'. x = 0.8181818182 Simplifying x = 0.8181818182Solution
x = {0, 0.8181818182}
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