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Simplifying -2x(3x + -7) = -5x + 0 Reorder the terms: -2x(-7 + 3x) = -5x + 0 (-7 * -2x + 3x * -2x) = -5x + 0 (14x + -6x2) = -5x + 0 Reorder the terms: 14x + -6x2 = 0 + -5x Remove the zero: 14x + -6x2 = -5x Solving 14x + -6x2 = -5x Solving for variable 'x'. Reorder the terms: 14x + 5x + -6x2 = -5x + 5x Combine like terms: 14x + 5x = 19x 19x + -6x2 = -5x + 5x Combine like terms: -5x + 5x = 0 19x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(19 + -6x) = 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 '(19 + -6x)' equal to zero and attempt to solve: Simplifying 19 + -6x = 0 Solving 19 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -6x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -6x = 0 + -19 -6x = 0 + -19 Combine like terms: 0 + -19 = -19 -6x = -19 Divide each side by '-6'. x = 3.166666667 Simplifying x = 3.166666667Solution
x = {0, 3.166666667}
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