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Simplifying 6x2 + x = 155 Reorder the terms: x + 6x2 = 155 Solving x + 6x2 = 155 Solving for variable 'x'. Reorder the terms: -155 + x + 6x2 = 155 + -155 Combine like terms: 155 + -155 = 0 -155 + x + 6x2 = 0 Factor a trinomial. (-31 + -6x)(5 + -1x) = 0Subproblem 1
Set the factor '(-31 + -6x)' equal to zero and attempt to solve: Simplifying -31 + -6x = 0 Solving -31 + -6x = 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 + -6x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -6x = 0 + 31 -6x = 0 + 31 Combine like terms: 0 + 31 = 31 -6x = 31 Divide each side by '-6'. x = -5.166666667 Simplifying x = -5.166666667Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-5.166666667, 5}
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