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Simplifying 4(-2x2 + 3x) + -1(5x + -3x2) = 0 Reorder the terms: 4(3x + -2x2) + -1(5x + -3x2) = 0 (3x * 4 + -2x2 * 4) + -1(5x + -3x2) = 0 (12x + -8x2) + -1(5x + -3x2) = 0 12x + -8x2 + (5x * -1 + -3x2 * -1) = 0 12x + -8x2 + (-5x + 3x2) = 0 Reorder the terms: 12x + -5x + -8x2 + 3x2 = 0 Combine like terms: 12x + -5x = 7x 7x + -8x2 + 3x2 = 0 Combine like terms: -8x2 + 3x2 = -5x2 7x + -5x2 = 0 Solving 7x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -5x) = 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 '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {0, 1.4}
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