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Simplifying -1(42x2 + -1x + -5) = 0 Reorder the terms: -1(-5 + -1x + 42x2) = 0 (-5 * -1 + -1x * -1 + 42x2 * -1) = 0 (5 + 1x + -42x2) = 0 Solving 5 + 1x + -42x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -14x)(1 + 3x) = 0Subproblem 1
Set the factor '(5 + -14x)' equal to zero and attempt to solve: Simplifying 5 + -14x = 0 Solving 5 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -14x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -14x = 0 + -5 -14x = 0 + -5 Combine like terms: 0 + -5 = -5 -14x = -5 Divide each side by '-14'. x = 0.3571428571 Simplifying x = 0.3571428571Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {0.3571428571, -0.3333333333}
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