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Simplifying 2(21x2 + -1) = -5x Reorder the terms: 2(-1 + 21x2) = -5x (-1 * 2 + 21x2 * 2) = -5x (-2 + 42x2) = -5x Solving -2 + 42x2 = -5x Solving for variable 'x'. Reorder the terms: -2 + 5x + 42x2 = -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 5x + 42x2 = 0 Factor a trinomial. (-2 + -7x)(1 + -6x) = 0Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve: Simplifying -2 + -7x = 0 Solving -2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857Subproblem 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 = {-0.2857142857, 0.1666666667}
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