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Simplifying 9x2 + 3x + x = 93 Reorder the terms: 3x + x + 9x2 = 93 Combine like terms: 3x + x = 4x 4x + 9x2 = 93 Solving 4x + 9x2 = 93 Solving for variable 'x'. Reorder the terms: -93 + 4x + 9x2 = 93 + -93 Combine like terms: 93 + -93 = 0 -93 + 4x + 9x2 = 0 Factor a trinomial. (-31 + -9x)(3 + -1x) = 0Subproblem 1
Set the factor '(-31 + -9x)' equal to zero and attempt to solve: Simplifying -31 + -9x = 0 Solving -31 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -9x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -9x = 0 + 31 -9x = 0 + 31 Combine like terms: 0 + 31 = 31 -9x = 31 Divide each side by '-9'. x = -3.444444444 Simplifying x = -3.444444444Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-3.444444444, 3}
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