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

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


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

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

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

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

Combine like terms: 5x + -2x = 3x
(-5 + 3x + 2x2) = -6

Solving
-5 + 3x + 2x2 = -6

Solving for variable 'x'.

Reorder the terms:
-5 + 6 + 3x + 2x2 = -6 + 6

Combine like terms: -5 + 6 = 1
1 + 3x + 2x2 = -6 + 6

Combine like terms: -6 + 6 = 0
1 + 3x + 2x2 = 0

Factor a trinomial.
(1 + x)(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-1, -0.5}

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