2(5x+2)=3x^2-10x-28

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Solution for 2(5x+2)=3x^2-10x-28 equation: 


Simplifying
2(5x + 2) = 3x2 + -10x + -28

Reorder the terms:
2(2 + 5x) = 3x2 + -10x + -28
(2 * 2 + 5x * 2) = 3x2 + -10x + -28
(4 + 10x) = 3x2 + -10x + -28

Reorder the terms:
4 + 10x = -28 + -10x + 3x2

Solving
4 + 10x = -28 + -10x + 3x2

Solving for variable 'x'.

Reorder the terms:
4 + 28 + 10x + 10x + -3x2 = -28 + -10x + 3x2 + 28 + 10x + -3x2

Combine like terms: 4 + 28 = 32
32 + 10x + 10x + -3x2 = -28 + -10x + 3x2 + 28 + 10x + -3x2

Combine like terms: 10x + 10x = 20x
32 + 20x + -3x2 = -28 + -10x + 3x2 + 28 + 10x + -3x2

Reorder the terms:
32 + 20x + -3x2 = -28 + 28 + -10x + 10x + 3x2 + -3x2

Combine like terms: -28 + 28 = 0
32 + 20x + -3x2 = 0 + -10x + 10x + 3x2 + -3x2
32 + 20x + -3x2 = -10x + 10x + 3x2 + -3x2

Combine like terms: -10x + 10x = 0
32 + 20x + -3x2 = 0 + 3x2 + -3x2
32 + 20x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
32 + 20x + -3x2 = 0

Factor a trinomial.
(8 + -1x)(4 + 3x) = 0


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

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

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {8, -1.333333333}

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