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Simplifying 6x2 = -25x + -4 Reorder the terms: 6x2 = -4 + -25x Solving 6x2 = -4 + -25x Solving for variable 'x'. Reorder the terms: 4 + 25x + 6x2 = -4 + -25x + 4 + 25x Reorder the terms: 4 + 25x + 6x2 = -4 + 4 + -25x + 25x Combine like terms: -4 + 4 = 0 4 + 25x + 6x2 = 0 + -25x + 25x 4 + 25x + 6x2 = -25x + 25x Combine like terms: -25x + 25x = 0 4 + 25x + 6x2 = 0 Factor a trinomial. (4 + x)(1 + 6x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 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, -0.1666666667}
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