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

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


Simplifying
-1(2x + 5)(x + -2) = 0

Reorder the terms:
-1(5 + 2x)(x + -2) = 0

Reorder the terms:
-1(5 + 2x)(-2 + x) = 0

Multiply (5 + 2x) * (-2 + x)
-1(5(-2 + x) + 2x * (-2 + x)) = 0
-1((-2 * 5 + x * 5) + 2x * (-2 + x)) = 0
-1((-10 + 5x) + 2x * (-2 + x)) = 0
-1(-10 + 5x + (-2 * 2x + x * 2x)) = 0
-1(-10 + 5x + (-4x + 2x2)) = 0

Combine like terms: 5x + -4x = 1x
-1(-10 + 1x + 2x2) = 0
(-10 * -1 + 1x * -1 + 2x2 * -1) = 0
(10 + -1x + -2x2) = 0

Solving
10 + -1x + -2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(5 + 2x) = 0


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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {2, -2.5}

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