20x(x+2)=7x-10

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Solution for 20x(x+2)=7x-10 equation: 


Simplifying
20x(x + 2) = 7x + -10

Reorder the terms:
20x(2 + x) = 7x + -10
(2 * 20x + x * 20x) = 7x + -10
(40x + 20x2) = 7x + -10

Reorder the terms:
40x + 20x2 = -10 + 7x

Solving
40x + 20x2 = -10 + 7x

Solving for variable 'x'.

Reorder the terms:
10 + 40x + -7x + 20x2 = -10 + 7x + 10 + -7x

Combine like terms: 40x + -7x = 33x
10 + 33x + 20x2 = -10 + 7x + 10 + -7x

Reorder the terms:
10 + 33x + 20x2 = -10 + 10 + 7x + -7x

Combine like terms: -10 + 10 = 0
10 + 33x + 20x2 = 0 + 7x + -7x
10 + 33x + 20x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
10 + 33x + 20x2 = 0

Factor a trinomial.
(5 + 4x)(2 + 5x) = 0


Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 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 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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 = {-1.25, -0.4}

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