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Simplifying 48x2 + 125x + -4 = 4 Reorder the terms: -4 + 125x + 48x2 = 4 Solving -4 + 125x + 48x2 = 4 Solving for variable 'x'. Reorder the terms: -4 + -4 + 125x + 48x2 = 4 + -4 Combine like terms: -4 + -4 = -8 -8 + 125x + 48x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -8 + 125x + 48x2 = 0 Factor a trinomial. (-8 + -3x)(1 + -16x) = 0Subproblem 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 '(1 + -16x)' equal to zero and attempt to solve: Simplifying 1 + -16x = 0 Solving 1 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -16x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -16x = 0 + -1 -16x = 0 + -1 Combine like terms: 0 + -1 = -1 -16x = -1 Divide each side by '-16'. x = 0.0625 Simplifying x = 0.0625Solution
x = {-2.666666667, 0.0625}
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