(4+3x)(2-x)+(4-3x)(2+x)=22

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Solution for (4+3x)(2-x)+(4-3x)(2+x)=22 equation:


Simplifying
(4 + 3x)(2 + -1x) + (4 + -3x)(2 + x) = 22

Multiply (4 + 3x) * (2 + -1x)
(4(2 + -1x) + 3x * (2 + -1x)) + (4 + -3x)(2 + x) = 22
((2 * 4 + -1x * 4) + 3x * (2 + -1x)) + (4 + -3x)(2 + x) = 22
((8 + -4x) + 3x * (2 + -1x)) + (4 + -3x)(2 + x) = 22
(8 + -4x + (2 * 3x + -1x * 3x)) + (4 + -3x)(2 + x) = 22
(8 + -4x + (6x + -3x2)) + (4 + -3x)(2 + x) = 22

Combine like terms: -4x + 6x = 2x
(8 + 2x + -3x2) + (4 + -3x)(2 + x) = 22

Multiply (4 + -3x) * (2 + x)
8 + 2x + -3x2 + (4(2 + x) + -3x * (2 + x)) = 22
8 + 2x + -3x2 + ((2 * 4 + x * 4) + -3x * (2 + x)) = 22
8 + 2x + -3x2 + ((8 + 4x) + -3x * (2 + x)) = 22
8 + 2x + -3x2 + (8 + 4x + (2 * -3x + x * -3x)) = 22
8 + 2x + -3x2 + (8 + 4x + (-6x + -3x2)) = 22

Combine like terms: 4x + -6x = -2x
8 + 2x + -3x2 + (8 + -2x + -3x2) = 22

Reorder the terms:
8 + 8 + 2x + -2x + -3x2 + -3x2 = 22

Combine like terms: 8 + 8 = 16
16 + 2x + -2x + -3x2 + -3x2 = 22

Combine like terms: 2x + -2x = 0
16 + 0 + -3x2 + -3x2 = 22
16 + -3x2 + -3x2 = 22

Combine like terms: -3x2 + -3x2 = -6x2
16 + -6x2 = 22

Solving
16 + -6x2 = 22

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -6x2 = 22 + -16

Combine like terms: 16 + -16 = 0
0 + -6x2 = 22 + -16
-6x2 = 22 + -16

Combine like terms: 22 + -16 = 6
-6x2 = 6

Divide each side by '-6'.
x2 = -1

Simplifying
x2 = -1

Reorder the terms:
1 + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + x2 = 0

The solution to this equation could not be determined.

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