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Simplifying 4x2 + 21x + 26 = 0 Reorder the terms: 26 + 21x + 4x2 = 0 Solving 26 + 21x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + 4x)(2 + x) = 0Subproblem 1
Set the factor '(13 + 4x)' equal to zero and attempt to solve: Simplifying 13 + 4x = 0 Solving 13 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 0 + -13 4x = 0 + -13 Combine like terms: 0 + -13 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-3.25, -2}
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