x^2+4x-70=4x+30

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Solution for x^2+4x-70=4x+30 equation: 


Simplifying
x2 + 4x + -70 = 4x + 30

Reorder the terms:
-70 + 4x + x2 = 4x + 30

Reorder the terms:
-70 + 4x + x2 = 30 + 4x

Add '-4x' to each side of the equation.
-70 + 4x + -4x + x2 = 30 + 4x + -4x

Combine like terms: 4x + -4x = 0
-70 + 0 + x2 = 30 + 4x + -4x
-70 + x2 = 30 + 4x + -4x

Combine like terms: 4x + -4x = 0
-70 + x2 = 30 + 0
-70 + x2 = 30

Solving
-70 + x2 = 30

Solving for variable 'x'.

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

Add '70' to each side of the equation.
-70 + 70 + x2 = 30 + 70

Combine like terms: -70 + 70 = 0
0 + x2 = 30 + 70
x2 = 30 + 70

Combine like terms: 30 + 70 = 100
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}

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