2x(10x+8)=-3(x+1)

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Solution for 2x(10x+8)=-3(x+1) equation: 


Simplifying
2x(10x + 8) = -3(x + 1)

Reorder the terms:
2x(8 + 10x) = -3(x + 1)
(8 * 2x + 10x * 2x) = -3(x + 1)
(16x + 20x2) = -3(x + 1)

Reorder the terms:
16x + 20x2 = -3(1 + x)
16x + 20x2 = (1 * -3 + x * -3)
16x + 20x2 = (-3 + -3x)

Solving
16x + 20x2 = -3 + -3x

Solving for variable 'x'.

Reorder the terms:
3 + 16x + 3x + 20x2 = -3 + -3x + 3 + 3x

Combine like terms: 16x + 3x = 19x
3 + 19x + 20x2 = -3 + -3x + 3 + 3x

Reorder the terms:
3 + 19x + 20x2 = -3 + 3 + -3x + 3x

Combine like terms: -3 + 3 = 0
3 + 19x + 20x2 = 0 + -3x + 3x
3 + 19x + 20x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 19x + 20x2 = 0

Factor a trinomial.
(3 + 4x)(1 + 5x) = 0


Subproblem 1
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-0.75, -0.2}

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