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

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


Simplifying
(4x + -6)(2x + 3) + -5 = 0

Reorder the terms:
(-6 + 4x)(2x + 3) + -5 = 0

Reorder the terms:
(-6 + 4x)(3 + 2x) + -5 = 0

Multiply (-6 + 4x) * (3 + 2x)
(-6(3 + 2x) + 4x * (3 + 2x)) + -5 = 0
((3 * -6 + 2x * -6) + 4x * (3 + 2x)) + -5 = 0
((-18 + -12x) + 4x * (3 + 2x)) + -5 = 0
(-18 + -12x + (3 * 4x + 2x * 4x)) + -5 = 0
(-18 + -12x + (12x + 8x2)) + -5 = 0

Combine like terms: -12x + 12x = 0
(-18 + 0 + 8x2) + -5 = 0
(-18 + 8x2) + -5 = 0

Reorder the terms:
-18 + -5 + 8x2 = 0

Combine like terms: -18 + -5 = -23
-23 + 8x2 = 0

Solving
-23 + 8x2 = 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 + 8x2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 8x2 = 0 + 23
8x2 = 0 + 23

Combine like terms: 0 + 23 = 23
8x2 = 23

Divide each side by '8'.
x2 = 2.875

Simplifying
x2 = 2.875

Take the square root of each side:
x = {-1.695582496, 1.695582496}

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