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Simplifying 4x2 = 45x + 91 Reorder the terms: 4x2 = 91 + 45x Solving 4x2 = 91 + 45x Solving for variable 'x'. Reorder the terms: -91 + -45x + 4x2 = 91 + 45x + -91 + -45x Reorder the terms: -91 + -45x + 4x2 = 91 + -91 + 45x + -45x Combine like terms: 91 + -91 = 0 -91 + -45x + 4x2 = 0 + 45x + -45x -91 + -45x + 4x2 = 45x + -45x Combine like terms: 45x + -45x = 0 -91 + -45x + 4x2 = 0 Factor a trinomial. (-7 + -4x)(13 + -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 '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-1.75, 13}
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