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Simplifying x(4x + -1) = 60 Reorder the terms: x(-1 + 4x) = 60 (-1 * x + 4x * x) = 60 (-1x + 4x2) = 60 Solving -1x + 4x2 = 60 Solving for variable 'x'. Reorder the terms: -60 + -1x + 4x2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + -1x + 4x2 = 0 Factor a trinomial. (-15 + -4x)(4 + -1x) = 0Subproblem 1
Set the factor '(-15 + -4x)' equal to zero and attempt to solve: Simplifying -15 + -4x = 0 Solving -15 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 0 + 15 -4x = 0 + 15 Combine like terms: 0 + 15 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-3.75, 4}
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