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Simplifying 12x2 + 176x + 525 = 0 Reorder the terms: 525 + 176x + 12x2 = 0 Solving 525 + 176x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (21 + 2x)(25 + 6x) = 0Subproblem 1
Set the factor '(21 + 2x)' equal to zero and attempt to solve: Simplifying 21 + 2x = 0 Solving 21 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 0 + -21 2x = 0 + -21 Combine like terms: 0 + -21 = -21 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5Subproblem 2
Set the factor '(25 + 6x)' equal to zero and attempt to solve: Simplifying 25 + 6x = 0 Solving 25 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 6x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 6x = 0 + -25 6x = 0 + -25 Combine like terms: 0 + -25 = -25 6x = -25 Divide each side by '6'. x = -4.166666667 Simplifying x = -4.166666667Solution
x = {-10.5, -4.166666667}
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