(5x-4)(x+10)=0

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Solution for (5x-4)(x+10)=0 equation: 


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

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

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

Multiply (-4 + 5x) * (10 + x)
(-4(10 + x) + 5x * (10 + x)) = 0
((10 * -4 + x * -4) + 5x * (10 + x)) = 0
((-40 + -4x) + 5x * (10 + x)) = 0
(-40 + -4x + (10 * 5x + x * 5x)) = 0
(-40 + -4x + (50x + 5x2)) = 0

Combine like terms: -4x + 50x = 46x
(-40 + 46x + 5x2) = 0

Solving
-40 + 46x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(4 + -5x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

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

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
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
Solution
x = {-10, 0.8}

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