3(x^2-11)+2(x^2-7)=38

Solution for 3(x^2-11)+2(x^2-7)=38 equation:

Simplifying
3(x2 + -11) + 2(x2 + -7) = 38

Reorder the terms:
3(-11 + x2) + 2(x2 + -7) = 38
(-11 * 3 + x2 * 3) + 2(x2 + -7) = 38
(-33 + 3x2) + 2(x2 + -7) = 38

Reorder the terms:
-33 + 3x2 + 2(-7 + x2) = 38
-33 + 3x2 + (-7 * 2 + x2 * 2) = 38
-33 + 3x2 + (-14 + 2x2) = 38

Reorder the terms:
-33 + -14 + 3x2 + 2x2 = 38

Combine like terms: -33 + -14 = -47
-47 + 3x2 + 2x2 = 38

Combine like terms: 3x2 + 2x2 = 5x2
-47 + 5x2 = 38

Solving
-47 + 5x2 = 38

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 47 + 5x2 = 38 + 47

Combine like terms: -47 + 47 = 0
0 + 5x2 = 38 + 47
5x2 = 38 + 47

Combine like terms: 38 + 47 = 85
5x2 = 85

Divide each side by '5'.
x2 = 17

Simplifying
x2 = 17

Take the square root of each side:
x = {-4.123105626, 4.123105626}