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Simplifying (7x + -3)(11x + 1) + -2(7x + -3) = 0 Reorder the terms: (-3 + 7x)(11x + 1) + -2(7x + -3) = 0 Reorder the terms: (-3 + 7x)(1 + 11x) + -2(7x + -3) = 0 Multiply (-3 + 7x) * (1 + 11x) (-3(1 + 11x) + 7x * (1 + 11x)) + -2(7x + -3) = 0 ((1 * -3 + 11x * -3) + 7x * (1 + 11x)) + -2(7x + -3) = 0 ((-3 + -33x) + 7x * (1 + 11x)) + -2(7x + -3) = 0 (-3 + -33x + (1 * 7x + 11x * 7x)) + -2(7x + -3) = 0 (-3 + -33x + (7x + 77x2)) + -2(7x + -3) = 0 Combine like terms: -33x + 7x = -26x (-3 + -26x + 77x2) + -2(7x + -3) = 0 Reorder the terms: -3 + -26x + 77x2 + -2(-3 + 7x) = 0 -3 + -26x + 77x2 + (-3 * -2 + 7x * -2) = 0 -3 + -26x + 77x2 + (6 + -14x) = 0 Reorder the terms: -3 + 6 + -26x + -14x + 77x2 = 0 Combine like terms: -3 + 6 = 3 3 + -26x + -14x + 77x2 = 0 Combine like terms: -26x + -14x = -40x 3 + -40x + 77x2 = 0 Solving 3 + -40x + 77x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -11x)(3 + -7x) = 0Subproblem 1
Set the factor '(1 + -11x)' equal to zero and attempt to solve: Simplifying 1 + -11x = 0 Solving 1 + -11x = 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 + -11x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = 0 + -1 -11x = 0 + -1 Combine like terms: 0 + -1 = -1 -11x = -1 Divide each side by '-11'. x = 0.09090909091 Simplifying x = 0.09090909091Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {0.09090909091, 0.4285714286}
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