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Simplifying 36x2 + 84x + 49 = 64 Reorder the terms: 49 + 84x + 36x2 = 64 Solving 49 + 84x + 36x2 = 64 Solving for variable 'x'. Reorder the terms: 49 + -64 + 84x + 36x2 = 64 + -64 Combine like terms: 49 + -64 = -15 -15 + 84x + 36x2 = 64 + -64 Combine like terms: 64 + -64 = 0 -15 + 84x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 28x + 12x2) = 0 Factor a trinomial. 3((-5 + -2x)(1 + -6x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {-2.5, 0.1666666667}
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