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Simplifying 7x(5x + 12) + -1(5x + 12) = 0 Reorder the terms: 7x(12 + 5x) + -1(5x + 12) = 0 (12 * 7x + 5x * 7x) + -1(5x + 12) = 0 (84x + 35x2) + -1(5x + 12) = 0 Reorder the terms: 84x + 35x2 + -1(12 + 5x) = 0 84x + 35x2 + (12 * -1 + 5x * -1) = 0 84x + 35x2 + (-12 + -5x) = 0 Reorder the terms: -12 + 84x + -5x + 35x2 = 0 Combine like terms: 84x + -5x = 79x -12 + 79x + 35x2 = 0 Solving -12 + 79x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -5x)(1 + -7x) = 0Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve: Simplifying -12 + -5x = 0 Solving -12 + -5x = 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 + -5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 0 + 12 -5x = 0 + 12 Combine like terms: 0 + 12 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4Subproblem 2
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Solution
x = {-2.4, 0.1428571429}
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