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Simplifying 16(x2 + -4x + 4) = 1 Reorder the terms: 16(4 + -4x + x2) = 1 (4 * 16 + -4x * 16 + x2 * 16) = 1 (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. (7 + -4x)(9 + -4x) = 0Subproblem 1
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 = 1.75Subproblem 2
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 = 2.25Solution
x = {1.75, 2.25}
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