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Simplifying 864 + -120x + 4x2 = 405 Solving 864 + -120x + 4x2 = 405 Solving for variable 'x'. Reorder the terms: 864 + -405 + -120x + 4x2 = 405 + -405 Combine like terms: 864 + -405 = 459 459 + -120x + 4x2 = 405 + -405 Combine like terms: 405 + -405 = 0 459 + -120x + 4x2 = 0 Factor a trinomial. (9 + -2x)(51 + -2x) = 0Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Subproblem 2
Set the factor '(51 + -2x)' equal to zero and attempt to solve: Simplifying 51 + -2x = 0 Solving 51 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -2x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -2x = 0 + -51 -2x = 0 + -51 Combine like terms: 0 + -51 = -51 -2x = -51 Divide each side by '-2'. x = 25.5 Simplifying x = 25.5Solution
x = {4.5, 25.5}
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