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Simplifying 2x(4x + 5) = -3 Reorder the terms: 2x(5 + 4x) = -3 (5 * 2x + 4x * 2x) = -3 (10x + 8x2) = -3 Solving 10x + 8x2 = -3 Solving for variable 'x'. Reorder the terms: 3 + 10x + 8x2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 10x + 8x2 = 0 Factor a trinomial. (3 + 4x)(1 + 2x) = 0Subproblem 1
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Subproblem 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 = {-0.75, -0.5}
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