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Simplifying 4x2 + -72x + 299 = 0 Reorder the terms: 299 + -72x + 4x2 = 0 Solving 299 + -72x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + -2x)(23 + -2x) = 0Subproblem 1
Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 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 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5Subproblem 2
Set the factor '(23 + -2x)' equal to zero and attempt to solve: Simplifying 23 + -2x = 0 Solving 23 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = 0 + -23 -2x = 0 + -23 Combine like terms: 0 + -23 = -23 -2x = -23 Divide each side by '-2'. x = 11.5 Simplifying x = 11.5Solution
x = {6.5, 11.5}
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