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Simplifying -6x(10x + -18) + -3x = 0 Reorder the terms: -6x(-18 + 10x) + -3x = 0 (-18 * -6x + 10x * -6x) + -3x = 0 (108x + -60x2) + -3x = 0 Reorder the terms: 108x + -3x + -60x2 = 0 Combine like terms: 108x + -3x = 105x 105x + -60x2 = 0 Solving 105x + -60x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x'. 15x(7 + -4x) = 0 Ignore the factor 15.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 '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {0, 1.75}
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