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Simplifying 48x2 + 376x + 448 = 8x2 Reorder the terms: 448 + 376x + 48x2 = 8x2 Solving 448 + 376x + 48x2 = 8x2 Solving for variable 'x'. Combine like terms: 48x2 + -8x2 = 40x2 448 + 376x + 40x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 448 + 376x + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(56 + 47x + 5x2) = 0 Factor a trinomial. 8((8 + x)(7 + 5x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 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 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Solution
x = {-8, -1.4}
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