(3x+10)(x-3)=2x+14

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Solution for (3x+10)(x-3)=2x+14 equation: 


Simplifying
(3x + 10)(x + -3) = 2x + 14

Reorder the terms:
(10 + 3x)(x + -3) = 2x + 14

Reorder the terms:
(10 + 3x)(-3 + x) = 2x + 14

Multiply (10 + 3x) * (-3 + x)
(10(-3 + x) + 3x * (-3 + x)) = 2x + 14
((-3 * 10 + x * 10) + 3x * (-3 + x)) = 2x + 14
((-30 + 10x) + 3x * (-3 + x)) = 2x + 14
(-30 + 10x + (-3 * 3x + x * 3x)) = 2x + 14
(-30 + 10x + (-9x + 3x2)) = 2x + 14

Combine like terms: 10x + -9x = 1x
(-30 + 1x + 3x2) = 2x + 14

Reorder the terms:
-30 + 1x + 3x2 = 14 + 2x

Solving
-30 + 1x + 3x2 = 14 + 2x

Solving for variable 'x'.

Reorder the terms:
-30 + -14 + 1x + -2x + 3x2 = 14 + 2x + -14 + -2x

Combine like terms: -30 + -14 = -44
-44 + 1x + -2x + 3x2 = 14 + 2x + -14 + -2x

Combine like terms: 1x + -2x = -1x
-44 + -1x + 3x2 = 14 + 2x + -14 + -2x

Reorder the terms:
-44 + -1x + 3x2 = 14 + -14 + 2x + -2x

Combine like terms: 14 + -14 = 0
-44 + -1x + 3x2 = 0 + 2x + -2x
-44 + -1x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-44 + -1x + 3x2 = 0

Factor a trinomial.
(-11 + -3x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 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 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

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 = {-3.666666667, 4}

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