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Simplifying (-1x2 + 3x) + -1(5x + 2x2) = 0 Reorder the terms: (3x + -1x2) + -1(5x + 2x2) = 0 Remove parenthesis around (3x + -1x2) 3x + -1x2 + -1(5x + 2x2) = 0 3x + -1x2 + (5x * -1 + 2x2 * -1) = 0 3x + -1x2 + (-5x + -2x2) = 0 Reorder the terms: 3x + -5x + -1x2 + -2x2 = 0 Combine like terms: 3x + -5x = -2x -2x + -1x2 + -2x2 = 0 Combine like terms: -1x2 + -2x2 = -3x2 -2x + -3x2 = 0 Solving -2x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(2 + 3x) = 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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {0, -0.6666666667}
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