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Simplifying 84x2 + -30x + -10 = -4 Reorder the terms: -10 + -30x + 84x2 = -4 Solving -10 + -30x + 84x2 = -4 Solving for variable 'x'. Reorder the terms: -10 + 4 + -30x + 84x2 = -4 + 4 Combine like terms: -10 + 4 = -6 -6 + -30x + 84x2 = -4 + 4 Combine like terms: -4 + 4 = 0 -6 + -30x + 84x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + -5x + 14x2) = 0 Factor a trinomial. 6((-1 + -7x)(1 + -2x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 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 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-0.1428571429, 0.5}
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