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Simplifying 40x2 + 18x + -7 = 0 Reorder the terms: -7 + 18x + 40x2 = 0 Solving -7 + 18x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -10x)(1 + -4x) = 0Subproblem 1
Set the factor '(-7 + -10x)' equal to zero and attempt to solve: Simplifying -7 + -10x = 0 Solving -7 + -10x = 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 + -10x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = 0 + 7 -10x = 0 + 7 Combine like terms: 0 + 7 = 7 -10x = 7 Divide each side by '-10'. x = -0.7 Simplifying x = -0.7Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-0.7, 0.25}
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