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Simplifying
x2 + 4x2 + 4 = 169
Reorder the terms:
4 + x2 + 4x2 = 169
Combine like terms: x2 + 4x2 = 5x2
4 + 5x2 = 169
Solving
4 + 5x2 = 169
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 5x2 = 169 + -4
Combine like terms: 4 + -4 = 0
0 + 5x2 = 169 + -4
5x2 = 169 + -4
Combine like terms: 169 + -4 = 165
5x2 = 165
Divide each side by '5'.
x2 = 33
Simplifying
x2 = 33
Take the square root of each side:
x = {-5.744562647, 5.744562647}
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