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Simplifying 346 = 2x2 + -9x + 355 Reorder the terms: 346 = 355 + -9x + 2x2 Solving 346 = 355 + -9x + 2x2 Solving for variable 'x'. Combine like terms: 346 + -355 = -9 -9 + 9x + -2x2 = 355 + -9x + 2x2 + -355 + 9x + -2x2 Reorder the terms: -9 + 9x + -2x2 = 355 + -355 + -9x + 9x + 2x2 + -2x2 Combine like terms: 355 + -355 = 0 -9 + 9x + -2x2 = 0 + -9x + 9x + 2x2 + -2x2 -9 + 9x + -2x2 = -9x + 9x + 2x2 + -2x2 Combine like terms: -9x + 9x = 0 -9 + 9x + -2x2 = 0 + 2x2 + -2x2 -9 + 9x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -9 + 9x + -2x2 = 0 Factor a trinomial. (-3 + x)(3 + -2x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {3, 1.5}
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