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Simplifying 64x2 + 80x + 25 = 36 Reorder the terms: 25 + 80x + 64x2 = 36 Solving 25 + 80x + 64x2 = 36 Solving for variable 'x'. Reorder the terms: 25 + -36 + 80x + 64x2 = 36 + -36 Combine like terms: 25 + -36 = -11 -11 + 80x + 64x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -11 + 80x + 64x2 = 0 Factor a trinomial. (-11 + -8x)(1 + -8x) = 0Subproblem 1
Set the factor '(-11 + -8x)' equal to zero and attempt to solve: Simplifying -11 + -8x = 0 Solving -11 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -8x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -8x = 0 + 11 -8x = 0 + 11 Combine like terms: 0 + 11 = 11 -8x = 11 Divide each side by '-8'. x = -1.375 Simplifying x = -1.375Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 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 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125Solution
x = {-1.375, 0.125}
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