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Simplifying (-1x + 12)(3 + 7x) = 0 Reorder the terms: (12 + -1x)(3 + 7x) = 0 Multiply (12 + -1x) * (3 + 7x) (12(3 + 7x) + -1x * (3 + 7x)) = 0 ((3 * 12 + 7x * 12) + -1x * (3 + 7x)) = 0 ((36 + 84x) + -1x * (3 + 7x)) = 0 (36 + 84x + (3 * -1x + 7x * -1x)) = 0 (36 + 84x + (-3x + -7x2)) = 0 Combine like terms: 84x + -3x = 81x (36 + 81x + -7x2) = 0 Solving 36 + 81x + -7x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + -1x)(3 + 7x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 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 = {12, -0.4285714286}
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