19x^2-86x-45=0

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Solution for 19x^2-86x-45=0 equation:


Simplifying
19x2 + -86x + -45 = 0

Reorder the terms:
-45 + -86x + 19x2 = 0

Solving
-45 + -86x + 19x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -19x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-9 + -19x)' equal to zero and attempt to solve: Simplifying -9 + -19x = 0 Solving -9 + -19x = 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 + -19x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -19x = 0 + 9 -19x = 0 + 9 Combine like terms: 0 + 9 = 9 -19x = 9 Divide each side by '-19'. x = -0.4736842105 Simplifying x = -0.4736842105

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-0.4736842105, 5}

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