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Simplifying 36x2 + -96x + 64 = 25 Reorder the terms: 64 + -96x + 36x2 = 25 Solving 64 + -96x + 36x2 = 25 Solving for variable 'x'. Reorder the terms: 64 + -25 + -96x + 36x2 = 25 + -25 Combine like terms: 64 + -25 = 39 39 + -96x + 36x2 = 25 + -25 Combine like terms: 25 + -25 = 0 39 + -96x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(13 + -32x + 12x2) = 0 Factor a trinomial. 3((1 + -2x)(13 + -6x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(13 + -6x)' equal to zero and attempt to solve: Simplifying 13 + -6x = 0 Solving 13 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -6x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 0 + -13 -6x = 0 + -13 Combine like terms: 0 + -13 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667Solution
x = {0.5, 2.166666667}
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