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Simplifying
(3x + -2)(x + 4) = 2(5x + 2)
Reorder the terms:
(-2 + 3x)(x + 4) = 2(5x + 2)
Reorder the terms:
(-2 + 3x)(4 + x) = 2(5x + 2)
Multiply (-2 + 3x) * (4 + x)
(-2(4 + x) + 3x * (4 + x)) = 2(5x + 2)
((4 * -2 + x * -2) + 3x * (4 + x)) = 2(5x + 2)
((-8 + -2x) + 3x * (4 + x)) = 2(5x + 2)
(-8 + -2x + (4 * 3x + x * 3x)) = 2(5x + 2)
(-8 + -2x + (12x + 3x2)) = 2(5x + 2)
Combine like terms: -2x + 12x = 10x
(-8 + 10x + 3x2) = 2(5x + 2)
Reorder the terms:
-8 + 10x + 3x2 = 2(2 + 5x)
-8 + 10x + 3x2 = (2 * 2 + 5x * 2)
-8 + 10x + 3x2 = (4 + 10x)
Add '-10x' to each side of the equation.
-8 + 10x + -10x + 3x2 = 4 + 10x + -10x
Combine like terms: 10x + -10x = 0
-8 + 0 + 3x2 = 4 + 10x + -10x
-8 + 3x2 = 4 + 10x + -10x
Combine like terms: 10x + -10x = 0
-8 + 3x2 = 4 + 0
-8 + 3x2 = 4
Solving
-8 + 3x2 = 4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 3x2 = 4 + 8
Combine like terms: -8 + 8 = 0
0 + 3x2 = 4 + 8
3x2 = 4 + 8
Combine like terms: 4 + 8 = 12
3x2 = 12
Divide each side by '3'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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