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Simplifying x(6x + -1) = 70 Reorder the terms: x(-1 + 6x) = 70 (-1 * x + 6x * x) = 70 (-1x + 6x2) = 70 Solving -1x + 6x2 = 70 Solving for variable 'x'. Reorder the terms: -70 + -1x + 6x2 = 70 + -70 Combine like terms: 70 + -70 = 0 -70 + -1x + 6x2 = 0 Factor a trinomial. (-10 + -3x)(7 + -2x) = 0Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve: Simplifying -10 + -3x = 0 Solving -10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 0 + 10 -3x = 0 + 10 Combine like terms: 0 + 10 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-3.333333333, 3.5}
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