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Simplifying 6(2 + -7x) + x(7x + -2) * 7 = 0 (2 * 6 + -7x * 6) + x(7x + -2) * 7 = 0 (12 + -42x) + x(7x + -2) * 7 = 0 Reorder the terms: 12 + -42x + x(-2 + 7x) * 7 = 0 Reorder the terms for easier multiplication: 12 + -42x + 7x(-2 + 7x) = 0 12 + -42x + (-2 * 7x + 7x * 7x) = 0 12 + -42x + (-14x + 49x2) = 0 Combine like terms: -42x + -14x = -56x 12 + -56x + 49x2 = 0 Solving 12 + -56x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -7x)(6 + -7x) = 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 '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {0.2857142857, 0.8571428571}
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