1-(2x-1)(x+3)+5(x+0.8)=0

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Solution for 1-(2x-1)(x+3)+5(x+0.8)=0 equation: 


Simplifying
1 + -1(2x + -1)(x + 3) + 5(x + 0.8) = 0

Reorder the terms:
1 + -1(-1 + 2x)(x + 3) + 5(x + 0.8) = 0

Reorder the terms:
1 + -1(-1 + 2x)(3 + x) + 5(x + 0.8) = 0

Multiply (-1 + 2x) * (3 + x)
1 + -1(-1(3 + x) + 2x * (3 + x)) + 5(x + 0.8) = 0
1 + -1((3 * -1 + x * -1) + 2x * (3 + x)) + 5(x + 0.8) = 0
1 + -1((-3 + -1x) + 2x * (3 + x)) + 5(x + 0.8) = 0
1 + -1(-3 + -1x + (3 * 2x + x * 2x)) + 5(x + 0.8) = 0
1 + -1(-3 + -1x + (6x + 2x2)) + 5(x + 0.8) = 0

Combine like terms: -1x + 6x = 5x
1 + -1(-3 + 5x + 2x2) + 5(x + 0.8) = 0
1 + (-3 * -1 + 5x * -1 + 2x2 * -1) + 5(x + 0.8) = 0
1 + (3 + -5x + -2x2) + 5(x + 0.8) = 0

Reorder the terms:
1 + 3 + -5x + -2x2 + 5(0.8 + x) = 0
1 + 3 + -5x + -2x2 + (0.8 * 5 + x * 5) = 0
1 + 3 + -5x + -2x2 + (4 + 5x) = 0

Reorder the terms:
1 + 3 + 4 + -5x + 5x + -2x2 = 0

Combine like terms: 1 + 3 = 4
4 + 4 + -5x + 5x + -2x2 = 0

Combine like terms: 4 + 4 = 8
8 + -5x + 5x + -2x2 = 0

Combine like terms: -5x + 5x = 0
8 + 0 + -2x2 = 0
8 + -2x2 = 0

Solving
8 + -2x2 = 0

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 + -2x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2x2 = 0 + -8
-2x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2x2 = -8

Divide each side by '-2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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