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Simplifying 7x2 + 7x + -11 = 61 + -48x Reorder the terms: -11 + 7x + 7x2 = 61 + -48x Solving -11 + 7x + 7x2 = 61 + -48x Solving for variable 'x'. Reorder the terms: -11 + -61 + 7x + 48x + 7x2 = 61 + -48x + -61 + 48x Combine like terms: -11 + -61 = -72 -72 + 7x + 48x + 7x2 = 61 + -48x + -61 + 48x Combine like terms: 7x + 48x = 55x -72 + 55x + 7x2 = 61 + -48x + -61 + 48x Reorder the terms: -72 + 55x + 7x2 = 61 + -61 + -48x + 48x Combine like terms: 61 + -61 = 0 -72 + 55x + 7x2 = 0 + -48x + 48x -72 + 55x + 7x2 = -48x + 48x Combine like terms: -48x + 48x = 0 -72 + 55x + 7x2 = 0 Factor a trinomial. (-9 + -1x)(8 + -7x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-9, 1.142857143}
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