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

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


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

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

Reorder the terms:
(35x + -10xy + -5x2) = 0
(35x + -10xy + -5x2) = 0

Solving
35x + -10xy + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(7 + -2y + -1x) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + -2y + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -2y + -1x = 0

Reorder the terms:
7 + -1x + -2y = 0

Solving
7 + -1x + -2y = 0

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

Add '-7' to each side of the equation.
7 + -1x + -7 + -2y = 0 + -7

Reorder the terms:
7 + -7 + -1x + -2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x + -2y = 0 + -7
-1x + -2y = 0 + -7

Combine like terms: 0 + -7 = -7
-1x + -2y = -7

Add '2y' to each side of the equation.
-1x + -2y + 2y = -7 + 2y

Combine like terms: -2y + 2y = 0
-1x + 0 = -7 + 2y
-1x = -7 + 2y

Divide each side by '-1'.
x = 7 + -2y

Simplifying
x = 7 + -2y
Solution
x = {0, 7 + -2y}

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