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Simplifying -1(49 + -84X + 36X2) = 0 (49 * -1 + -84X * -1 + 36X2 * -1) = 0 (-49 + 84X + -36X2) = 0 Solving -49 + 84X + -36X2 = 0 Solving for variable 'X'. Factor a trinomial. (-7 + 6X)(7 + -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 '(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 = 1.166666667Solution
X = {1.166666667, 1.166666667}
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