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Simplifying -8x2 + 5x = -4x Reorder the terms: 5x + -8x2 = -4x Solving 5x + -8x2 = -4x Solving for variable 'x'. Reorder the terms: 5x + 4x + -8x2 = -4x + 4x Combine like terms: 5x + 4x = 9x 9x + -8x2 = -4x + 4x Combine like terms: -4x + 4x = 0 9x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(9 + -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 '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 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 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {0, 1.125}
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