8-2(3x+2)+5x(x+3)=

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Solution for 8-2(3x+2)+5x(x+3)= equation: 


Simplifying
8 + -2(3x + 2) + 5x(x + 3) = 0

Reorder the terms:
8 + -2(2 + 3x) + 5x(x + 3) = 0
8 + (2 * -2 + 3x * -2) + 5x(x + 3) = 0
8 + (-4 + -6x) + 5x(x + 3) = 0

Reorder the terms:
8 + -4 + -6x + 5x(3 + x) = 0
8 + -4 + -6x + (3 * 5x + x * 5x) = 0
8 + -4 + -6x + (15x + 5x2) = 0

Combine like terms: 8 + -4 = 4
4 + -6x + 15x + 5x2 = 0

Combine like terms: -6x + 15x = 9x
4 + 9x + 5x2 = 0

Solving
4 + 9x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(4 + 5x) = 0


Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1

Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {-1, -0.8}

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