x^2-3x-77=-3x+4

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Solution for x^2-3x-77=-3x+4 equation: 


Simplifying
x2 + -3x + -77 = -3x + 4

Reorder the terms:
-77 + -3x + x2 = -3x + 4

Reorder the terms:
-77 + -3x + x2 = 4 + -3x

Add '3x' to each side of the equation.
-77 + -3x + 3x + x2 = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-77 + 0 + x2 = 4 + -3x + 3x
-77 + x2 = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-77 + x2 = 4 + 0
-77 + x2 = 4

Solving
-77 + x2 = 4

Solving for variable 'x'.

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

Add '77' to each side of the equation.
-77 + 77 + x2 = 4 + 77

Combine like terms: -77 + 77 = 0
0 + x2 = 4 + 77
x2 = 4 + 77

Combine like terms: 4 + 77 = 81
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}

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