(x+7)*(-2x+3x-14)=

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Solution for (x+7)*(-2x+3x-14)= equation: 


Simplifying
(x + 7)(-2x + 3x + -14) = 0

Reorder the terms:
(7 + x)(-2x + 3x + -14) = 0

Reorder the terms:
(7 + x)(-14 + -2x + 3x) = 0

Combine like terms: -2x + 3x = 1x
(7 + x)(-14 + 1x) = 0

Multiply (7 + x) * (-14 + 1x)
(7(-14 + 1x) + x(-14 + 1x)) = 0
((-14 * 7 + 1x * 7) + x(-14 + 1x)) = 0
((-98 + 7x) + x(-14 + 1x)) = 0
(-98 + 7x + (-14 * x + 1x * x)) = 0
(-98 + 7x + (-14x + 1x2)) = 0

Combine like terms: 7x + -14x = -7x
(-98 + -7x + 1x2) = 0

Solving
-98 + -7x + 1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(14 + -1x) = 0


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

Simplifying
-7 + -1x = 0

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

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

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

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-7, 14}

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