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Simplifying 36x2 + -96x + 64 = 1 Reorder the terms: 64 + -96x + 36x2 = 1 Solving 64 + -96x + 36x2 = 1 Solving for variable 'x'. Reorder the terms: 64 + -1 + -96x + 36x2 = 1 + -1 Combine like terms: 64 + -1 = 63 63 + -96x + 36x2 = 1 + -1 Combine like terms: 1 + -1 = 0 63 + -96x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(21 + -32x + 12x2) = 0 Factor a trinomial. 3((7 + -6x)(3 + -2x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 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 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {1.166666667, 1.5}
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