(x-3)(x+10)=14

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Solution for (x-3)(x+10)=14 equation: 


Simplifying
(x + -3)(x + 10) = 14

Reorder the terms:
(-3 + x)(x + 10) = 14

Reorder the terms:
(-3 + x)(10 + x) = 14

Multiply (-3 + x) * (10 + x)
(-3(10 + x) + x(10 + x)) = 14
((10 * -3 + x * -3) + x(10 + x)) = 14
((-30 + -3x) + x(10 + x)) = 14
(-30 + -3x + (10 * x + x * x)) = 14
(-30 + -3x + (10x + x2)) = 14

Combine like terms: -3x + 10x = 7x
(-30 + 7x + x2) = 14

Solving
-30 + 7x + x2 = 14

Solving for variable 'x'.

Reorder the terms:
-30 + -14 + 7x + x2 = 14 + -14

Combine like terms: -30 + -14 = -44
-44 + 7x + x2 = 14 + -14

Combine like terms: 14 + -14 = 0
-44 + 7x + x2 = 0

Factor a trinomial.
(-11 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-11, 4}

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