4(3x^2-7)=3(x^2-5)

Solution for 4(3x^2-7)=3(x^2-5) equation:

Simplifying
4(3x2 + -7) = 3(x2 + -5)

Reorder the terms:
4(-7 + 3x2) = 3(x2 + -5)
(-7 * 4 + 3x2 * 4) = 3(x2 + -5)
(-28 + 12x2) = 3(x2 + -5)

Reorder the terms:
-28 + 12x2 = 3(-5 + x2)
-28 + 12x2 = (-5 * 3 + x2 * 3)
-28 + 12x2 = (-15 + 3x2)

Solving
-28 + 12x2 = -15 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-28 + 12x2 + -3x2 = -15 + 3x2 + -3x2

Combine like terms: 12x2 + -3x2 = 9x2
-28 + 9x2 = -15 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-28 + 9x2 = -15 + 0
-28 + 9x2 = -15

Add '28' to each side of the equation.
-28 + 28 + 9x2 = -15 + 28

Combine like terms: -28 + 28 = 0
0 + 9x2 = -15 + 28
9x2 = -15 + 28

Combine like terms: -15 + 28 = 13
9x2 = 13

Divide each side by '9'.
x2 = 1.444444444

Simplifying
x2 = 1.444444444

Take the square root of each side:
x = {-1.201850425, 1.201850425}