-14+3(x+10)=7(2x+4)x

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Solution for -14+3(x+10)=7(2x+4)x equation: 


Simplifying
-14 + 3(x + 10) = 7(2x + 4) * x

Reorder the terms:
-14 + 3(10 + x) = 7(2x + 4) * x
-14 + (10 * 3 + x * 3) = 7(2x + 4) * x
-14 + (30 + 3x) = 7(2x + 4) * x

Combine like terms: -14 + 30 = 16
16 + 3x = 7(2x + 4) * x

Reorder the terms:
16 + 3x = 7(4 + 2x) * x

Reorder the terms for easier multiplication:
16 + 3x = 7x(4 + 2x)
16 + 3x = (4 * 7x + 2x * 7x)
16 + 3x = (28x + 14x2)

Solving
16 + 3x = 28x + 14x2

Solving for variable 'x'.

Combine like terms: 3x + -28x = -25x
16 + -25x + -14x2 = 28x + 14x2 + -28x + -14x2

Reorder the terms:
16 + -25x + -14x2 = 28x + -28x + 14x2 + -14x2

Combine like terms: 28x + -28x = 0
16 + -25x + -14x2 = 0 + 14x2 + -14x2
16 + -25x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
16 + -25x + -14x2 = 0

Factor a trinomial.
(1 + -2x)(16 + 7x) = 0


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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(16 + 7x)' equal to zero and attempt to solve:

Simplifying
16 + 7x = 0

Solving
16 + 7x = 0

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

Add '-16' to each side of the equation.
16 + -16 + 7x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = 0 + -16
7x = 0 + -16

Combine like terms: 0 + -16 = -16
7x = -16

Divide each side by '7'.
x = -2.285714286

Simplifying
x = -2.285714286
Solution
x = {0.5, -2.285714286}

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