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Simplifying 118 + -165x = -21x2 + -8 Reorder the terms: 118 + -165x = -8 + -21x2 Solving 118 + -165x = -8 + -21x2 Solving for variable 'x'. Reorder the terms: 118 + 8 + -165x + 21x2 = -8 + -21x2 + 8 + 21x2 Combine like terms: 118 + 8 = 126 126 + -165x + 21x2 = -8 + -21x2 + 8 + 21x2 Reorder the terms: 126 + -165x + 21x2 = -8 + 8 + -21x2 + 21x2 Combine like terms: -8 + 8 = 0 126 + -165x + 21x2 = 0 + -21x2 + 21x2 126 + -165x + 21x2 = -21x2 + 21x2 Combine like terms: -21x2 + 21x2 = 0 126 + -165x + 21x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(42 + -55x + 7x2) = 0 Factor a trinomial. 3((6 + -7x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = 0.8571428571Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0.8571428571, 7}
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