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Simplifying 45x2 + 147x + 79 = 7 Reorder the terms: 79 + 147x + 45x2 = 7 Solving 79 + 147x + 45x2 = 7 Solving for variable 'x'. Reorder the terms: 79 + -7 + 147x + 45x2 = 7 + -7 Combine like terms: 79 + -7 = 72 72 + 147x + 45x2 = 7 + -7 Combine like terms: 7 + -7 = 0 72 + 147x + 45x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(24 + 49x + 15x2) = 0 Factor a trinomial. 3((8 + 3x)(3 + 5x)) = 0 Ignore the factor 3.Subproblem 1
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 = -2.666666667Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-2.666666667, -0.6}
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