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Simplifying 7x2 = -47x + -30 Reorder the terms: 7x2 = -30 + -47x Solving 7x2 = -30 + -47x Solving for variable 'x'. Reorder the terms: 30 + 47x + 7x2 = -30 + -47x + 30 + 47x Reorder the terms: 30 + 47x + 7x2 = -30 + 30 + -47x + 47x Combine like terms: -30 + 30 = 0 30 + 47x + 7x2 = 0 + -47x + 47x 30 + 47x + 7x2 = -47x + 47x Combine like terms: -47x + 47x = 0 30 + 47x + 7x2 = 0 Factor a trinomial. (6 + x)(5 + 7x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143Solution
x = {-6, -0.7142857143}
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