6X^2-14X=4420

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Solution for 6X^2-14X=4420 equation:


Simplifying
6X2 + -14X = 4420

Reorder the terms:
-14X + 6X2 = 4420

Solving
-14X + 6X2 = 4420

Solving for variable 'X'.

Reorder the terms:
-4420 + -14X + 6X2 = 4420 + -4420

Combine like terms: 4420 + -4420 = 0
-4420 + -14X + 6X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2210 + -7X + 3X2) = 0

Factor a trinomial.
2((-26 + -1X)(85 + -3X)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-26 + -1X)' equal to zero and attempt to solve: Simplifying -26 + -1X = 0 Solving -26 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -1X = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -1X = 0 + 26 -1X = 0 + 26 Combine like terms: 0 + 26 = 26 -1X = 26 Divide each side by '-1'. X = -26 Simplifying X = -26

Subproblem 2

Set the factor '(85 + -3X)' equal to zero and attempt to solve: Simplifying 85 + -3X = 0 Solving 85 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -3X = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -3X = 0 + -85 -3X = 0 + -85 Combine like terms: 0 + -85 = -85 -3X = -85 Divide each side by '-3'. X = 28.33333333 Simplifying X = 28.33333333

Solution

X = {-26, 28.33333333}

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