4x^2+9=109

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Solution for 4x^2+9=109 equation:


Simplifying
4x2 + 9 = 109

Reorder the terms:
9 + 4x2 = 109

Solving
9 + 4x2 = 109

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 4x2 = 109 + -9

Combine like terms: 9 + -9 = 0
0 + 4x2 = 109 + -9
4x2 = 109 + -9

Combine like terms: 109 + -9 = 100
4x2 = 100

Divide each side by '4'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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