(x-2)(5x+1)=-6

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Solution for (x-2)(5x+1)=-6 equation: 


Simplifying
(x + -2)(5x + 1) = -6

Reorder the terms:
(-2 + x)(5x + 1) = -6

Reorder the terms:
(-2 + x)(1 + 5x) = -6

Multiply (-2 + x) * (1 + 5x)
(-2(1 + 5x) + x(1 + 5x)) = -6
((1 * -2 + 5x * -2) + x(1 + 5x)) = -6
((-2 + -10x) + x(1 + 5x)) = -6
(-2 + -10x + (1 * x + 5x * x)) = -6
(-2 + -10x + (1x + 5x2)) = -6

Combine like terms: -10x + 1x = -9x
(-2 + -9x + 5x2) = -6

Solving
-2 + -9x + 5x2 = -6

Solving for variable 'x'.

Reorder the terms:
-2 + 6 + -9x + 5x2 = -6 + 6

Combine like terms: -2 + 6 = 4
4 + -9x + 5x2 = -6 + 6

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

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


Subproblem 1
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

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 = {0.8, 1}

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