5x(x-2)+7(x-2)=

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Solution for 5x(x-2)+7(x-2)= equation: 


Simplifying
5x(x + -2) + 7(x + -2) = 0

Reorder the terms:
5x(-2 + x) + 7(x + -2) = 0
(-2 * 5x + x * 5x) + 7(x + -2) = 0
(-10x + 5x2) + 7(x + -2) = 0

Reorder the terms:
-10x + 5x2 + 7(-2 + x) = 0
-10x + 5x2 + (-2 * 7 + x * 7) = 0
-10x + 5x2 + (-14 + 7x) = 0

Reorder the terms:
-14 + -10x + 7x + 5x2 = 0

Combine like terms: -10x + 7x = -3x
-14 + -3x + 5x2 = 0

Solving
-14 + -3x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -5x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve:

Simplifying
-7 + -5x = 0

Solving
-7 + -5x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
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
Solution
x = {-1.4, 2}

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