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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. (-1 + -4x)(3 + -2x) = 0Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 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 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
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 = 1.5Solution
x = {-0.25, 1.5}
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