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Simplifying -4x(2x + -3) + 10x = 0 Reorder the terms: -4x(-3 + 2x) + 10x = 0 (-3 * -4x + 2x * -4x) + 10x = 0 (12x + -8x2) + 10x = 0 Reorder the terms: 12x + 10x + -8x2 = 0 Combine like terms: 12x + 10x = 22x 22x + -8x2 = 0 Solving 22x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(11 + -4x) = 0 Ignore the factor 2.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 + -4x)' equal to zero and attempt to solve: Simplifying 11 + -4x = 0 Solving 11 + -4x = 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 + -4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 0 + -11 -4x = 0 + -11 Combine like terms: 0 + -11 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75Solution
x = {0, 2.75}
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