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Simplifying x + 6 + -4x2 + 8x + -6 = 0 Reorder the terms: 6 + -6 + x + 8x + -4x2 = 0 Combine like terms: 6 + -6 = 0 0 + x + 8x + -4x2 = 0 x + 8x + -4x2 = 0 Combine like terms: x + 8x = 9x 9x + -4x2 = 0 Solving 9x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + -4x) = 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 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {0, 2.25}
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