(10x^2-4x)+(5x-2)=

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Solution for (10x^2-4x)+(5x-2)= equation: 


Simplifying
(10x2 + -4x) + (5x + -2) = 0

Reorder the terms:
(-4x + 10x2) + (5x + -2) = 0

Remove parenthesis around (-4x + 10x2)
-4x + 10x2 + (5x + -2) = 0

Reorder the terms:
-4x + 10x2 + (-2 + 5x) = 0

Remove parenthesis around (-2 + 5x)
-4x + 10x2 + -2 + 5x = 0

Reorder the terms:
-2 + -4x + 5x + 10x2 = 0

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

Solving
-2 + 1x + 10x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-0.5, 0.4}

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