(-2-5x)(-9x+10)=0

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Solution for (-2-5x)(-9x+10)=0 equation: 


Simplifying
(-2 + -5x)(-9x + 10) = 0

Reorder the terms:
(-2 + -5x)(10 + -9x) = 0

Multiply (-2 + -5x) * (10 + -9x)
(-2(10 + -9x) + -5x * (10 + -9x)) = 0
((10 * -2 + -9x * -2) + -5x * (10 + -9x)) = 0
((-20 + 18x) + -5x * (10 + -9x)) = 0
(-20 + 18x + (10 * -5x + -9x * -5x)) = 0
(-20 + 18x + (-50x + 45x2)) = 0

Combine like terms: 18x + -50x = -32x
(-20 + -32x + 45x2) = 0

Solving
-20 + -32x + 45x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5x)(10 + -9x) = 0


Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 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 + -5x = 0 + 2

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

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 2
Set the factor '(10 + -9x)' equal to zero and attempt to solve:

Simplifying
10 + -9x = 0

Solving
10 + -9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 0 + -10
-9x = 0 + -10

Combine like terms: 0 + -10 = -10
-9x = -10

Divide each side by '-9'.
x = 1.111111111

Simplifying
x = 1.111111111
Solution
x = {-0.4, 1.111111111}

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