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Simplifying 6x * x + 35x + 48 = x Multiply x * x 6x2 + 35x + 48 = x Reorder the terms: 48 + 35x + 6x2 = x Solving 48 + 35x + 6x2 = x Solving for variable 'x'. Reorder the terms: 48 + 35x + -1x + 6x2 = x + -1x Combine like terms: 35x + -1x = 34x 48 + 34x + 6x2 = x + -1x Combine like terms: x + -1x = 0 48 + 34x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(24 + 17x + 3x2) = 0 Factor a trinomial. 2((3 + x)(8 + 3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Solution
x = {-3, -2.666666667}
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