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Simplifying 176x = 121 + 64x2 Solving 176x = 121 + 64x2 Solving for variable 'x'. Reorder the terms: -121 + 176x + -64x2 = 121 + 64x2 + -121 + -64x2 Reorder the terms: -121 + 176x + -64x2 = 121 + -121 + 64x2 + -64x2 Combine like terms: 121 + -121 = 0 -121 + 176x + -64x2 = 0 + 64x2 + -64x2 -121 + 176x + -64x2 = 64x2 + -64x2 Combine like terms: 64x2 + -64x2 = 0 -121 + 176x + -64x2 = 0 Factor a trinomial. (-11 + 8x)(11 + -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 '(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 = 1.375Solution
x = {1.375, 1.375}
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