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Simplifying (-8x + 6) + (8x2 + -3x + -6) = 0 Reorder the terms: (6 + -8x) + (8x2 + -3x + -6) = 0 Remove parenthesis around (6 + -8x) 6 + -8x + (8x2 + -3x + -6) = 0 Reorder the terms: 6 + -8x + (-6 + -3x + 8x2) = 0 Remove parenthesis around (-6 + -3x + 8x2) 6 + -8x + -6 + -3x + 8x2 = 0 Reorder the terms: 6 + -6 + -8x + -3x + 8x2 = 0 Combine like terms: 6 + -6 = 0 0 + -8x + -3x + 8x2 = 0 -8x + -3x + 8x2 = 0 Combine like terms: -8x + -3x = -11x -11x + 8x2 = 0 Solving -11x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 8x) = 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 + 8x)' equal to zero and attempt to solve: Simplifying -11 + 8x = 0 Solving -11 + 8x = 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 + 8x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 0 + 11 8x = 0 + 11 Combine like terms: 0 + 11 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375Solution
x = {0, 1.375}
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