4(x*x)+4x-49=4x

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Solution for 4(x*x)+4x-49=4x equation:


Simplifying
4(x * x) + 4x + -49 = 4x

Multiply x * x
4(x2) + 4x + -49 = 4x

Reorder the terms:
-49 + 4x + 4x2 = 4x

Add '-4x' to each side of the equation.
-49 + 4x + -4x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-49 + 0 + 4x2 = 4x + -4x
-49 + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-49 + 4x2 = 0

Solving
-49 + 4x2 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 4x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4x2 = 0 + 49
4x2 = 0 + 49

Combine like terms: 0 + 49 = 49
4x2 = 49

Divide each side by '4'.
x2 = 12.25

Simplifying
x2 = 12.25

Take the square root of each side:
x = {-3.5, 3.5}

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