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Simplifying 4x(x + 2) = 0x + -3 Reorder the terms: 4x(2 + x) = 0x + -3 (2 * 4x + x * 4x) = 0x + -3 (8x + 4x2) = 0x + -3 Anything times zero is zero. 8x + 4x2 = 0x + -3 Combine like terms: 0 + -3 = -3 8x + 4x2 = -3 Solving 8x + 4x2 = -3 Solving for variable 'x'. Reorder the terms: 3 + 8x + 4x2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 8x + 4x2 = 0 Factor a trinomial. (3 + 2x)(1 + 2x) = 0Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 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 = {-1.5, -0.5}
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