7x^2+2407x-45594=0

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Solution for 7x^2+2407x-45594=0 equation:


Simplifying
7x2 + 2407x + -45594 = 0

Reorder the terms:
-45594 + 2407x + 7x2 = 0

Solving
-45594 + 2407x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2533 + -7x)(18 + -1x) = 0

Subproblem 1

Set the factor '(-2533 + -7x)' equal to zero and attempt to solve: Simplifying -2533 + -7x = 0 Solving -2533 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '2533' to each side of the equation. -2533 + 2533 + -7x = 0 + 2533 Combine like terms: -2533 + 2533 = 0 0 + -7x = 0 + 2533 -7x = 0 + 2533 Combine like terms: 0 + 2533 = 2533 -7x = 2533 Divide each side by '-7'. x = -361.8571429 Simplifying x = -361.8571429

Subproblem 2

Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18

Solution

x = {-361.8571429, 18}

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