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Simplifying 64x2 + 48x + 9 = 100 Reorder the terms: 9 + 48x + 64x2 = 100 Solving 9 + 48x + 64x2 = 100 Solving for variable 'x'. Reorder the terms: 9 + -100 + 48x + 64x2 = 100 + -100 Combine like terms: 9 + -100 = -91 -91 + 48x + 64x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -91 + 48x + 64x2 = 0 Factor a trinomial. (-13 + -8x)(7 + -8x) = 0Subproblem 1
Set the factor '(-13 + -8x)' equal to zero and attempt to solve: Simplifying -13 + -8x = 0 Solving -13 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -8x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = 0 + 13 -8x = 0 + 13 Combine like terms: 0 + 13 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625Subproblem 2
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Solution
x = {-1.625, 0.875}
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