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Simplifying 16x2 + 64x + 64 = 1 Reorder the terms: 64 + 64x + 16x2 = 1 Solving 64 + 64x + 16x2 = 1 Solving for variable 'x'. Reorder the terms: 64 + -1 + 64x + 16x2 = 1 + -1 Combine like terms: 64 + -1 = 63 63 + 64x + 16x2 = 1 + -1 Combine like terms: 1 + -1 = 0 63 + 64x + 16x2 = 0 Factor a trinomial. (9 + 4x)(7 + 4x) = 0Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 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 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Solution
x = {-2.25, -1.75}
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