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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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