5(4x^2-9)=0

Solution for 5(4x^2-9)=0 equation:

Simplifying
5(4x2 + -9) = 0

Reorder the terms:
5(-9 + 4x2) = 0
(-9 * 5 + 4x2 * 5) = 0
(-45 + 20x2) = 0

Solving
-45 + 20x2 = 0

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 20x2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 20x2 = 0 + 45
20x2 = 0 + 45

Combine like terms: 0 + 45 = 45
20x2 = 45

Divide each side by '20'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}