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Simplifying 0 = (3 + -6x2) + -1(3x + 3) Remove parenthesis around (3 + -6x2) 0 = 3 + -6x2 + -1(3x + 3) Reorder the terms: 0 = 3 + -6x2 + -1(3 + 3x) 0 = 3 + -6x2 + (3 * -1 + 3x * -1) 0 = 3 + -6x2 + (-3 + -3x) Reorder the terms: 0 = 3 + -3 + -3x + -6x2 Combine like terms: 3 + -3 = 0 0 = 0 + -3x + -6x2 0 = -3x + -6x2 Solving 0 = -3x + -6x2 Solving for variable 'x'. Remove the zero: 3x + 6x2 = -3x + -6x2 + 3x + 6x2 Reorder the terms: 3x + 6x2 = -3x + 3x + -6x2 + 6x2 Combine like terms: -3x + 3x = 0 3x + 6x2 = 0 + -6x2 + 6x2 3x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 3x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + 2x) = 0 Ignore the factor 3.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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {0, -0.5}
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