2x^2-5x-3=2(x-3)(x+0.8)

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Solution for 2x^2-5x-3=2(x-3)(x+0.8) equation: 


Simplifying
2x2 + -5x + -3 = 2(x + -3)(x + 0.8)

Reorder the terms:
-3 + -5x + 2x2 = 2(x + -3)(x + 0.8)

Reorder the terms:
-3 + -5x + 2x2 = 2(-3 + x)(x + 0.8)

Reorder the terms:
-3 + -5x + 2x2 = 2(-3 + x)(0.8 + x)

Multiply (-3 + x) * (0.8 + x)
-3 + -5x + 2x2 = 2(-3(0.8 + x) + x(0.8 + x))
-3 + -5x + 2x2 = 2((0.8 * -3 + x * -3) + x(0.8 + x))
-3 + -5x + 2x2 = 2((-2.4 + -3x) + x(0.8 + x))
-3 + -5x + 2x2 = 2(-2.4 + -3x + (0.8 * x + x * x))
-3 + -5x + 2x2 = 2(-2.4 + -3x + (0.8x + x2))

Combine like terms: -3x + 0.8x = -2.2x
-3 + -5x + 2x2 = 2(-2.4 + -2.2x + x2)
-3 + -5x + 2x2 = (-2.4 * 2 + -2.2x * 2 + x2 * 2)
-3 + -5x + 2x2 = (-4.8 + -4.4x + 2x2)

Add '-2x2' to each side of the equation.
-3 + -5x + 2x2 + -2x2 = -4.8 + -4.4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + -5x + 0 = -4.8 + -4.4x + 2x2 + -2x2
-3 + -5x = -4.8 + -4.4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + -5x = -4.8 + -4.4x + 0
-3 + -5x = -4.8 + -4.4x

Solving
-3 + -5x = -4.8 + -4.4x

Solving for variable 'x'.

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

Add '4.4x' to each side of the equation.
-3 + -5x + 4.4x = -4.8 + -4.4x + 4.4x

Combine like terms: -5x + 4.4x = -0.6x
-3 + -0.6x = -4.8 + -4.4x + 4.4x

Combine like terms: -4.4x + 4.4x = 0.0
-3 + -0.6x = -4.8 + 0.0
-3 + -0.6x = -4.8

Add '3' to each side of the equation.
-3 + 3 + -0.6x = -4.8 + 3

Combine like terms: -3 + 3 = 0
0 + -0.6x = -4.8 + 3
-0.6x = -4.8 + 3

Combine like terms: -4.8 + 3 = -1.8
-0.6x = -1.8

Divide each side by '-0.6'.
x = 3

Simplifying
x = 3

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