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Simplifying 40x2 + 8 = 48x Reorder the terms: 8 + 40x2 = 48x Solving 8 + 40x2 = 48x Solving for variable 'x'. Reorder the terms: 8 + -48x + 40x2 = 48x + -48x Combine like terms: 48x + -48x = 0 8 + -48x + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(1 + -6x + 5x2) = 0 Factor a trinomial. 8((1 + -5x)(1 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.2, 1}
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