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Simplifying 48 = (2x + -10)(4)(x) Reorder the terms: 48 = (-10 + 2x)(4)(x) Reorder the terms for easier multiplication: 48 = 4x(-10 + 2x) 48 = (-10 * 4x + 2x * 4x) 48 = (-40x + 8x2) Solving 48 = -40x + 8x2 Solving for variable 'x'. Reorder the terms: 48 + 40x + -8x2 = -40x + 40x + 8x2 + -8x2 Combine like terms: -40x + 40x = 0 48 + 40x + -8x2 = 0 + 8x2 + -8x2 48 + 40x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 48 + 40x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(6 + 5x + -1x2) = 0 Factor a trinomial. 8((6 + -1x)(1 + x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {6, -1}
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