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Simplifying 4x2 + 5x + 66 = 180 Reorder the terms: 66 + 5x + 4x2 = 180 Solving 66 + 5x + 4x2 = 180 Solving for variable 'x'. Reorder the terms: 66 + -180 + 5x + 4x2 = 180 + -180 Combine like terms: 66 + -180 = -114 -114 + 5x + 4x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -114 + 5x + 4x2 = 0 Factor a trinomial. (-6 + -1x)(19 + -4x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(19 + -4x)' equal to zero and attempt to solve: Simplifying 19 + -4x = 0 Solving 19 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 0 + -19 -4x = 0 + -19 Combine like terms: 0 + -19 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75Solution
x = {-6, 4.75}
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