670x^2-48x-66520=0

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Solution for 670x^2-48x-66520=0 equation:


Simplifying
670x2 + -48x + -66520 = 0

Reorder the terms:
-66520 + -48x + 670x2 = 0

Solving
-66520 + -48x + 670x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-33260 + -24x + 335x2) = 0

Factor a trinomial.
2((-3326 + -335x)(10 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3326 + -335x)' equal to zero and attempt to solve: Simplifying -3326 + -335x = 0 Solving -3326 + -335x = 0 Move all terms containing x to the left, all other terms to the right. Add '3326' to each side of the equation. -3326 + 3326 + -335x = 0 + 3326 Combine like terms: -3326 + 3326 = 0 0 + -335x = 0 + 3326 -335x = 0 + 3326 Combine like terms: 0 + 3326 = 3326 -335x = 3326 Divide each side by '-335'. x = -9.928358209 Simplifying x = -9.928358209

Subproblem 2

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {-9.928358209, 10}

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