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Simplifying 42x2 + -35x + 54x + -45 = 0 Reorder the terms: -45 + -35x + 54x + 42x2 = 0 Combine like terms: -35x + 54x = 19x -45 + 19x + 42x2 = 0 Solving -45 + 19x + 42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -7x)(5 + -6x) = 0Subproblem 1
Set the factor '(-9 + -7x)' equal to zero and attempt to solve: Simplifying -9 + -7x = 0 Solving -9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = 0 + 9 -7x = 0 + 9 Combine like terms: 0 + 9 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {-1.285714286, 0.8333333333}
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