(2-3x)(2x+4)=5-6x*x

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Solution for (2-3x)(2x+4)=5-6x*x equation:


Simplifying
(2 + -3x)(2x + 4) = 5 + -6x * x

Reorder the terms:
(2 + -3x)(4 + 2x) = 5 + -6x * x

Multiply (2 + -3x) * (4 + 2x)
(2(4 + 2x) + -3x * (4 + 2x)) = 5 + -6x * x
((4 * 2 + 2x * 2) + -3x * (4 + 2x)) = 5 + -6x * x
((8 + 4x) + -3x * (4 + 2x)) = 5 + -6x * x
(8 + 4x + (4 * -3x + 2x * -3x)) = 5 + -6x * x
(8 + 4x + (-12x + -6x2)) = 5 + -6x * x

Combine like terms: 4x + -12x = -8x
(8 + -8x + -6x2) = 5 + -6x * x

Multiply x * x
8 + -8x + -6x2 = 5 + -6x2

Add '6x2' to each side of the equation.
8 + -8x + -6x2 + 6x2 = 5 + -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
8 + -8x + 0 = 5 + -6x2 + 6x2
8 + -8x = 5 + -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
8 + -8x = 5 + 0
8 + -8x = 5

Solving
8 + -8x = 5

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 + -8x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -8x = 5 + -8
-8x = 5 + -8

Combine like terms: 5 + -8 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

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