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Simplifying 5x2 + 48x + 60 = -4 Reorder the terms: 60 + 48x + 5x2 = -4 Solving 60 + 48x + 5x2 = -4 Solving for variable 'x'. Reorder the terms: 60 + 4 + 48x + 5x2 = -4 + 4 Combine like terms: 60 + 4 = 64 64 + 48x + 5x2 = -4 + 4 Combine like terms: -4 + 4 = 0 64 + 48x + 5x2 = 0 Factor a trinomial. (8 + x)(8 + 5x) = 0Subproblem 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 '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 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 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Solution
x = {-8, -1.6}
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