2x(5x+8)=6x+20

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Solution for 2x(5x+8)=6x+20 equation:


Simplifying
2x(5x + 8) = 6x + 20

Reorder the terms:
2x(8 + 5x) = 6x + 20
(8 * 2x + 5x * 2x) = 6x + 20
(16x + 10x2) = 6x + 20

Reorder the terms:
16x + 10x2 = 20 + 6x

Solving
16x + 10x2 = 20 + 6x

Solving for variable 'x'.

Reorder the terms:
-20 + 16x + -6x + 10x2 = 20 + 6x + -20 + -6x

Combine like terms: 16x + -6x = 10x
-20 + 10x + 10x2 = 20 + 6x + -20 + -6x

Reorder the terms:
-20 + 10x + 10x2 = 20 + -20 + 6x + -6x

Combine like terms: 20 + -20 = 0
-20 + 10x + 10x2 = 0 + 6x + -6x
-20 + 10x + 10x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + 10x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-2 + x + x2) = 0

Factor a trinomial.
10((-2 + -1x)(1 + -1x)) = 0

Ignore the factor 10.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-2, 1}

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