4x^2-44x+121=20(5-2x)+4(5-x)+9

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Solution for 4x^2-44x+121=20(5-2x)+4(5-x)+9 equation: 


Simplifying
4x2 + -44x + 121 = 20(5 + -2x) + 4(5 + -1x) + 9

Reorder the terms:
121 + -44x + 4x2 = 20(5 + -2x) + 4(5 + -1x) + 9
121 + -44x + 4x2 = (5 * 20 + -2x * 20) + 4(5 + -1x) + 9
121 + -44x + 4x2 = (100 + -40x) + 4(5 + -1x) + 9
121 + -44x + 4x2 = 100 + -40x + (5 * 4 + -1x * 4) + 9
121 + -44x + 4x2 = 100 + -40x + (20 + -4x) + 9

Reorder the terms:
121 + -44x + 4x2 = 100 + 20 + 9 + -40x + -4x

Combine like terms: 100 + 20 = 120
121 + -44x + 4x2 = 120 + 9 + -40x + -4x

Combine like terms: 120 + 9 = 129
121 + -44x + 4x2 = 129 + -40x + -4x

Combine like terms: -40x + -4x = -44x
121 + -44x + 4x2 = 129 + -44x

Add '44x' to each side of the equation.
121 + -44x + 44x + 4x2 = 129 + -44x + 44x

Combine like terms: -44x + 44x = 0
121 + 0 + 4x2 = 129 + -44x + 44x
121 + 4x2 = 129 + -44x + 44x

Combine like terms: -44x + 44x = 0
121 + 4x2 = 129 + 0
121 + 4x2 = 129

Solving
121 + 4x2 = 129

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-121' to each side of the equation.
121 + -121 + 4x2 = 129 + -121

Combine like terms: 121 + -121 = 0
0 + 4x2 = 129 + -121
4x2 = 129 + -121

Combine like terms: 129 + -121 = 8
4x2 = 8

Divide each side by '4'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}

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