(4x^2+12)-(10x^2-11)=

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Solution for (4x^2+12)-(10x^2-11)= equation: 


Simplifying
(4x2 + 12) + -1(10x2 + -11) = 0

Reorder the terms:
(12 + 4x2) + -1(10x2 + -11) = 0

Remove parenthesis around (12 + 4x2)
12 + 4x2 + -1(10x2 + -11) = 0

Reorder the terms:
12 + 4x2 + -1(-11 + 10x2) = 0
12 + 4x2 + (-11 * -1 + 10x2 * -1) = 0
12 + 4x2 + (11 + -10x2) = 0

Reorder the terms:
12 + 11 + 4x2 + -10x2 = 0

Combine like terms: 12 + 11 = 23
23 + 4x2 + -10x2 = 0

Combine like terms: 4x2 + -10x2 = -6x2
23 + -6x2 = 0

Solving
23 + -6x2 = 0

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -6x2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -6x2 = 0 + -23
-6x2 = 0 + -23

Combine like terms: 0 + -23 = -23
-6x2 = -23

Divide each side by '-6'.
x2 = 3.833333333

Simplifying
x2 = 3.833333333

Take the square root of each side:
x = {-1.957890021, 1.957890021}

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