x^2-21x+6=5x+6

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Solution for x^2-21x+6=5x+6 equation:


Simplifying
x2 + -21x + 6 = 5x + 6

Reorder the terms:
6 + -21x + x2 = 5x + 6

Reorder the terms:
6 + -21x + x2 = 6 + 5x

Add '-6' to each side of the equation.
6 + -21x + -6 + x2 = 6 + -6 + 5x

Reorder the terms:
6 + -6 + -21x + x2 = 6 + -6 + 5x

Combine like terms: 6 + -6 = 0
0 + -21x + x2 = 6 + -6 + 5x
-21x + x2 = 6 + -6 + 5x

Combine like terms: 6 + -6 = 0
-21x + x2 = 0 + 5x
-21x + x2 = 5x

Solving
-21x + x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-21x + -5x + x2 = 5x + -5x

Combine like terms: -21x + -5x = -26x
-26x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-26x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-26 + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-26 + x)' equal to zero and attempt to solve: Simplifying -26 + x = 0 Solving -26 + x = 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 + x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + x = 0 + 26 x = 0 + 26 Combine like terms: 0 + 26 = 26 x = 26 Simplifying x = 26

Solution

x = {0, 26}

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