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Simplifying 6x2 + 49x + 90 = 2 Reorder the terms: 90 + 49x + 6x2 = 2 Solving 90 + 49x + 6x2 = 2 Solving for variable 'x'. Reorder the terms: 90 + -2 + 49x + 6x2 = 2 + -2 Combine like terms: 90 + -2 = 88 88 + 49x + 6x2 = 2 + -2 Combine like terms: 2 + -2 = 0 88 + 49x + 6x2 = 0 Factor a trinomial. (11 + 2x)(8 + 3x) = 0Subproblem 1
Set the factor '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Solution
x = {-5.5, -2.666666667}
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