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Simplifying 7x(x + -11) + -2(x + -11) = 0 Reorder the terms: 7x(-11 + x) + -2(x + -11) = 0 (-11 * 7x + x * 7x) + -2(x + -11) = 0 (-77x + 7x2) + -2(x + -11) = 0 Reorder the terms: -77x + 7x2 + -2(-11 + x) = 0 -77x + 7x2 + (-11 * -2 + x * -2) = 0 -77x + 7x2 + (22 + -2x) = 0 Reorder the terms: 22 + -77x + -2x + 7x2 = 0 Combine like terms: -77x + -2x = -79x 22 + -79x + 7x2 = 0 Solving 22 + -79x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -7x)(11 + -1x) = 0Subproblem 1
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 = 0.2857142857Subproblem 2
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 = 11Solution
x = {0.2857142857, 11}
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