26X^2+130X-7800=0

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Solution for 26X^2+130X-7800=0 equation:


Simplifying
26X2 + 130X + -7800 = 0

Reorder the terms:
-7800 + 130X + 26X2 = 0

Solving
-7800 + 130X + 26X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '26'.
26(-300 + 5X + X2) = 0

Factor a trinomial.
26((-20 + -1X)(15 + -1X)) = 0

Ignore the factor 26.

Subproblem 1

Set the factor '(-20 + -1X)' equal to zero and attempt to solve: Simplifying -20 + -1X = 0 Solving -20 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1X = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1X = 0 + 20 -1X = 0 + 20 Combine like terms: 0 + 20 = 20 -1X = 20 Divide each side by '-1'. X = -20 Simplifying X = -20

Subproblem 2

Set the factor '(15 + -1X)' equal to zero and attempt to solve: Simplifying 15 + -1X = 0 Solving 15 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1X = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1X = 0 + -15 -1X = 0 + -15 Combine like terms: 0 + -15 = -15 -1X = -15 Divide each side by '-1'. X = 15 Simplifying X = 15

Solution

X = {-20, 15}

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