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Simplifying 49X2 + -168X + 144 = 0 Reorder the terms: 144 + -168X + 49X2 = 0 Solving 144 + -168X + 49X2 = 0 Solving for variable 'X'. Factor a trinomial. (12 + -7X)(12 + -7X) = 0Subproblem 1
Set the factor '(12 + -7X)' equal to zero and attempt to solve: Simplifying 12 + -7X = 0 Solving 12 + -7X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7X = 0 + -12 -7X = 0 + -12 Combine like terms: 0 + -12 = -12 -7X = -12 Divide each side by '-7'. X = 1.714285714 Simplifying X = 1.714285714Subproblem 2
Set the factor '(12 + -7X)' equal to zero and attempt to solve: Simplifying 12 + -7X = 0 Solving 12 + -7X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7X = 0 + -12 -7X = 0 + -12 Combine like terms: 0 + -12 = -12 -7X = -12 Divide each side by '-7'. X = 1.714285714 Simplifying X = 1.714285714Solution
X = {1.714285714, 1.714285714}
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