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Simplifying 2x2(x + 3) = -4x2(x + -1) Reorder the terms: 2x2(3 + x) = -4x2(x + -1) (3 * 2x2 + x * 2x2) = -4x2(x + -1) (6x2 + 2x3) = -4x2(x + -1) Reorder the terms: 6x2 + 2x3 = -4x2(-1 + x) 6x2 + 2x3 = (-1 * -4x2 + x * -4x2) 6x2 + 2x3 = (4x2 + -4x3) Solving 6x2 + 2x3 = 4x2 + -4x3 Solving for variable 'x'. Reorder the terms: 6x2 + -4x2 + 2x3 + 4x3 = 4x2 + -4x3 + -4x2 + 4x3 Combine like terms: 6x2 + -4x2 = 2x2 2x2 + 2x3 + 4x3 = 4x2 + -4x3 + -4x2 + 4x3 Combine like terms: 2x3 + 4x3 = 6x3 2x2 + 6x3 = 4x2 + -4x3 + -4x2 + 4x3 Reorder the terms: 2x2 + 6x3 = 4x2 + -4x2 + -4x3 + 4x3 Combine like terms: 4x2 + -4x2 = 0 2x2 + 6x3 = 0 + -4x3 + 4x3 2x2 + 6x3 = -4x3 + 4x3 Combine like terms: -4x3 + 4x3 = 0 2x2 + 6x3 = 0 Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(1 + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {0, -0.3333333333}
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