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Simplifying -8x + -8x(2x + x) + -3x = 0 Combine like terms: 2x + x = 3x -8x + -8x(3x) + -3x = 0 Remove parenthesis around (3x) -8x + -8x * 3x + -3x = 0 Reorder the terms for easier multiplication: -8x + -8 * 3x * x + -3x = 0 Multiply -8 * 3 -8x + -24x * x + -3x = 0 Multiply x * x -8x + -24x2 + -3x = 0 Reorder the terms: -8x + -3x + -24x2 = 0 Combine like terms: -8x + -3x = -11x -11x + -24x2 = 0 Solving -11x + -24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(11 + 24x) = 0 Ignore the factor -1.Subproblem 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 + 24x)' equal to zero and attempt to solve: Simplifying 11 + 24x = 0 Solving 11 + 24x = 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 + 24x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 24x = 0 + -11 24x = 0 + -11 Combine like terms: 0 + -11 = -11 24x = -11 Divide each side by '24'. x = -0.4583333333 Simplifying x = -0.4583333333Solution
x = {0, -0.4583333333}
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