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Simplifying 16x2 + -8x + 1 = 49 Reorder the terms: 1 + -8x + 16x2 = 49 Solving 1 + -8x + 16x2 = 49 Solving for variable 'x'. Reorder the terms: 1 + -49 + -8x + 16x2 = 49 + -49 Combine like terms: 1 + -49 = -48 -48 + -8x + 16x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -48 + -8x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-6 + -1x + 2x2) = 0 Factor a trinomial. 8((-3 + -2x)(2 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-1.5, 2}
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