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Simplifying 4x2 = 60 + -1x Solving 4x2 = 60 + -1x Solving for variable 'x'. Reorder the terms: -60 + x + 4x2 = 60 + -1x + -60 + x Reorder the terms: -60 + x + 4x2 = 60 + -60 + -1x + x Combine like terms: 60 + -60 = 0 -60 + x + 4x2 = 0 + -1x + x -60 + x + 4x2 = -1x + x Combine like terms: -1x + x = 0 -60 + x + 4x2 = 0 Factor a trinomial. (-4 + -1x)(15 + -4x) = 0Subproblem 1
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 = -4Subproblem 2
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 = 3.75Solution
x = {-4, 3.75}
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