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Simplifying 4x2 + 600x + -3421 = 0 Reorder the terms: -3421 + 600x + 4x2 = 0 Solving -3421 + 600x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-311 + -2x)(11 + -2x) = 0Subproblem 1
Set the factor '(-311 + -2x)' equal to zero and attempt to solve: Simplifying -311 + -2x = 0 Solving -311 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '311' to each side of the equation. -311 + 311 + -2x = 0 + 311 Combine like terms: -311 + 311 = 0 0 + -2x = 0 + 311 -2x = 0 + 311 Combine like terms: 0 + 311 = 311 -2x = 311 Divide each side by '-2'. x = -155.5 Simplifying x = -155.5Subproblem 2
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Solution
x = {-155.5, 5.5}
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