x^2+7x-45=7x+4

Solution for x^2+7x-45=7x+4 equation:

Simplifying
x2 + 7x + -45 = 7x + 4

Reorder the terms:
-45 + 7x + x2 = 7x + 4

Reorder the terms:
-45 + 7x + x2 = 4 + 7x

Add '-7x' to each side of the equation.
-45 + 7x + -7x + x2 = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-45 + 0 + x2 = 4 + 7x + -7x
-45 + x2 = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-45 + x2 = 4 + 0
-45 + x2 = 4

Solving
-45 + x2 = 4

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + x2 = 4 + 45

Combine like terms: -45 + 45 = 0
0 + x2 = 4 + 45
x2 = 4 + 45

Combine like terms: 4 + 45 = 49
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}