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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. (5 + -7x)(6 + -1x) = 0Subproblem 1
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 = 0.7142857143Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0.7142857143, 6}
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