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Simplifying (7x + -2)(x + 11) = 0 Reorder the terms: (-2 + 7x)(x + 11) = 0 Reorder the terms: (-2 + 7x)(11 + x) = 0 Multiply (-2 + 7x) * (11 + x) (-2(11 + x) + 7x * (11 + x)) = 0 ((11 * -2 + x * -2) + 7x * (11 + x)) = 0 ((-22 + -2x) + 7x * (11 + x)) = 0 (-22 + -2x + (11 * 7x + x * 7x)) = 0 (-22 + -2x + (77x + 7x2)) = 0 Combine like terms: -2x + 77x = 75x (-22 + 75x + 7x2) = 0 Solving -22 + 75x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -1x)(2 + -7x) = 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 '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-11, 0.2857142857}
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