4x^2+6=7x^2-21

Solution for 4x^2+6=7x^2-21 equation:

Simplifying
4x2 + 6 = 7x2 + -21

Reorder the terms:
6 + 4x2 = 7x2 + -21

Reorder the terms:
6 + 4x2 = -21 + 7x2

Solving
6 + 4x2 = -21 + 7x2

Solving for variable 'x'.

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

Add '-7x2' to each side of the equation.
6 + 4x2 + -7x2 = -21 + 7x2 + -7x2

Combine like terms: 4x2 + -7x2 = -3x2
6 + -3x2 = -21 + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
6 + -3x2 = -21 + 0
6 + -3x2 = -21

Add '-6' to each side of the equation.
6 + -6 + -3x2 = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -3x2 = -21 + -6
-3x2 = -21 + -6

Combine like terms: -21 + -6 = -27
-3x2 = -27

Divide each side by '-3'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}