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Simplifying 49x2 = -12 + 56x Solving 49x2 = -12 + 56x Solving for variable 'x'. Reorder the terms: 12 + -56x + 49x2 = -12 + 56x + 12 + -56x Reorder the terms: 12 + -56x + 49x2 = -12 + 12 + 56x + -56x Combine like terms: -12 + 12 = 0 12 + -56x + 49x2 = 0 + 56x + -56x 12 + -56x + 49x2 = 56x + -56x Combine like terms: 56x + -56x = 0 12 + -56x + 49x2 = 0 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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