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Simplifying 2x(4x + -1) = 21 Reorder the terms: 2x(-1 + 4x) = 21 (-1 * 2x + 4x * 2x) = 21 (-2x + 8x2) = 21 Solving -2x + 8x2 = 21 Solving for variable 'x'. Reorder the terms: -21 + -2x + 8x2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -2x + 8x2 = 0 Factor a trinomial. (-3 + -2x)(7 + -4x) = 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 '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {-1.5, 1.75}
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