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Simplifying 4x2 = 61x + 119 Reorder the terms: 4x2 = 119 + 61x Solving 4x2 = 119 + 61x Solving for variable 'x'. Reorder the terms: -119 + -61x + 4x2 = 119 + 61x + -119 + -61x Reorder the terms: -119 + -61x + 4x2 = 119 + -119 + 61x + -61x Combine like terms: 119 + -119 = 0 -119 + -61x + 4x2 = 0 + 61x + -61x -119 + -61x + 4x2 = 61x + -61x Combine like terms: 61x + -61x = 0 -119 + -61x + 4x2 = 0 Factor a trinomial. (-7 + -4x)(17 + -1x) = 0Subproblem 1
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 = -1.75Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-1.75, 17}
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