4x^2-13=-9

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Solution for 4x^2-13=-9 equation: 


Simplifying
4x2 + -13 = -9

Reorder the terms:
-13 + 4x2 = -9

Solving
-13 + 4x2 = -9

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 4x2 = -9 + 13

Combine like terms: -13 + 13 = 0
0 + 4x2 = -9 + 13
4x2 = -9 + 13

Combine like terms: -9 + 13 = 4
4x2 = 4

Divide each side by '4'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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