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Simplifying x(10x + -7) + 11(10x + -7) = 0 Reorder the terms: x(-7 + 10x) + 11(10x + -7) = 0 (-7 * x + 10x * x) + 11(10x + -7) = 0 (-7x + 10x2) + 11(10x + -7) = 0 Reorder the terms: -7x + 10x2 + 11(-7 + 10x) = 0 -7x + 10x2 + (-7 * 11 + 10x * 11) = 0 -7x + 10x2 + (-77 + 110x) = 0 Reorder the terms: -77 + -7x + 110x + 10x2 = 0 Combine like terms: -7x + 110x = 103x -77 + 103x + 10x2 = 0 Solving -77 + 103x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -1x)(7 + -10x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 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 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(7 + -10x)' equal to zero and attempt to solve: Simplifying 7 + -10x = 0 Solving 7 + -10x = 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 + -10x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = 0 + -7 -10x = 0 + -7 Combine like terms: 0 + -7 = -7 -10x = -7 Divide each side by '-10'. x = 0.7 Simplifying x = 0.7Solution
x = {-11, 0.7}
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