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Simplifying 30x2 + 121x + -21 = 0 Reorder the terms: -21 + 121x + 30x2 = 0 Solving -21 + 121x + 30x2 = 0 Solving for variable 'x'. Factor a trinomial. (-21 + -5x)(1 + -6x) = 0Subproblem 1
Set the factor '(-21 + -5x)' equal to zero and attempt to solve: Simplifying -21 + -5x = 0 Solving -21 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -5x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = 0 + 21 -5x = 0 + 21 Combine like terms: 0 + 21 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {-4.2, 0.1666666667}
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