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Simplifying 10x2 + 11x + -7 = 1 Reorder the terms: -7 + 11x + 10x2 = 1 Solving -7 + 11x + 10x2 = 1 Solving for variable 'x'. Reorder the terms: -7 + -1 + 11x + 10x2 = 1 + -1 Combine like terms: -7 + -1 = -8 -8 + 11x + 10x2 = 1 + -1 Combine like terms: 1 + -1 = 0 -8 + 11x + 10x2 = 0 Factor a trinomial. (-8 + -5x)(1 + -2x) = 0Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 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 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-1.6, 0.5}
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