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Simplifying 26x2 + -3x + 4 + -5x2 + 5x + -12 = 0 Reorder the terms: 4 + -12 + -3x + 5x + 26x2 + -5x2 = 0 Combine like terms: 4 + -12 = -8 -8 + -3x + 5x + 26x2 + -5x2 = 0 Combine like terms: -3x + 5x = 2x -8 + 2x + 26x2 + -5x2 = 0 Combine like terms: 26x2 + -5x2 = 21x2 -8 + 2x + 21x2 = 0 Solving -8 + 2x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -3x)(4 + -7x) = 0Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 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 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {-0.6666666667, 0.5714285714}
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