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Simplifying 4x2 + 600x + -2149 = 0 Reorder the terms: -2149 + 600x + 4x2 = 0 Solving -2149 + 600x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-307 + -2x)(7 + -2x) = 0Subproblem 1
Set the factor '(-307 + -2x)' equal to zero and attempt to solve: Simplifying -307 + -2x = 0 Solving -307 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '307' to each side of the equation. -307 + 307 + -2x = 0 + 307 Combine like terms: -307 + 307 = 0 0 + -2x = 0 + 307 -2x = 0 + 307 Combine like terms: 0 + 307 = 307 -2x = 307 Divide each side by '-2'. x = -153.5 Simplifying x = -153.5Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-153.5, 3.5}
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