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Simplifying 36x2 + 36x + 9 = 16 Reorder the terms: 9 + 36x + 36x2 = 16 Solving 9 + 36x + 36x2 = 16 Solving for variable 'x'. Reorder the terms: 9 + -16 + 36x + 36x2 = 16 + -16 Combine like terms: 9 + -16 = -7 -7 + 36x + 36x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -7 + 36x + 36x2 = 0 Factor a trinomial. (-7 + -6x)(1 + -6x) = 0Subproblem 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 '(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 = {-1.166666667, 0.1666666667}
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