5x(x)=12(x^2-5)

Solution for 5x(x)=12(x^2-5) equation:

Simplifying
5x(x) = 12(x2 + -5)

Multiply x * x
5x2 = 12(x2 + -5)

Reorder the terms:
5x2 = 12(-5 + x2)
5x2 = (-5 * 12 + x2 * 12)
5x2 = (-60 + 12x2)

Solving
5x2 = -60 + 12x2

Solving for variable 'x'.

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

Add '-12x2' to each side of the equation.
5x2 + -12x2 = -60 + 12x2 + -12x2

Combine like terms: 5x2 + -12x2 = -7x2
-7x2 = -60 + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-7x2 = -60 + 0
-7x2 = -60

Divide each side by '-7'.
x2 = 8.571428571

Simplifying
x2 = 8.571428571

Take the square root of each side:
x = {-2.927700219, 2.927700219}