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Simplifying 7x2 + 8x = -10x + -11 Reorder the terms: 8x + 7x2 = -10x + -11 Reorder the terms: 8x + 7x2 = -11 + -10x Solving 8x + 7x2 = -11 + -10x Solving for variable 'x'. Reorder the terms: 11 + 8x + 10x + 7x2 = -11 + -10x + 11 + 10x Combine like terms: 8x + 10x = 18x 11 + 18x + 7x2 = -11 + -10x + 11 + 10x Reorder the terms: 11 + 18x + 7x2 = -11 + 11 + -10x + 10x Combine like terms: -11 + 11 = 0 11 + 18x + 7x2 = 0 + -10x + 10x 11 + 18x + 7x2 = -10x + 10x Combine like terms: -10x + 10x = 0 11 + 18x + 7x2 = 0 Factor a trinomial. (11 + 7x)(1 + x) = 0Subproblem 1
Set the factor '(11 + 7x)' equal to zero and attempt to solve: Simplifying 11 + 7x = 0 Solving 11 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 0 + -11 7x = 0 + -11 Combine like terms: 0 + -11 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.571428571, -1}
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