(-2(14x-2))=((9x+8)(x-3))

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Solution for (-2(14x-2))=((9x+8)(x-3)) equation: 


Simplifying
(-2(14x + -2)) = ((9x + 8)(x + -3))

Reorder the terms:
(-2(-2 + 14x)) = ((9x + 8)(x + -3))
((-2 * -2 + 14x * -2)) = ((9x + 8)(x + -3))
((4 + -28x)) = ((9x + 8)(x + -3))
(4 + -28x) = ((9x + 8)(x + -3))

Remove parenthesis around (4 + -28x)
4 + -28x = ((9x + 8)(x + -3))

Reorder the terms:
4 + -28x = ((8 + 9x)(x + -3))

Reorder the terms:
4 + -28x = ((8 + 9x)(-3 + x))

Multiply (8 + 9x) * (-3 + x)
4 + -28x = ((8(-3 + x) + 9x * (-3 + x)))
4 + -28x = (((-3 * 8 + x * 8) + 9x * (-3 + x)))
4 + -28x = (((-24 + 8x) + 9x * (-3 + x)))
4 + -28x = ((-24 + 8x + (-3 * 9x + x * 9x)))
4 + -28x = ((-24 + 8x + (-27x + 9x2)))

Combine like terms: 8x + -27x = -19x
4 + -28x = ((-24 + -19x + 9x2))
4 + -28x = (-24 + -19x + 9x2)

Remove parenthesis around (-24 + -19x + 9x2)
4 + -28x = -24 + -19x + 9x2

Solving
4 + -28x = -24 + -19x + 9x2

Solving for variable 'x'.

Reorder the terms:
4 + 24 + -28x + 19x + -9x2 = -24 + -19x + 9x2 + 24 + 19x + -9x2

Combine like terms: 4 + 24 = 28
28 + -28x + 19x + -9x2 = -24 + -19x + 9x2 + 24 + 19x + -9x2

Combine like terms: -28x + 19x = -9x
28 + -9x + -9x2 = -24 + -19x + 9x2 + 24 + 19x + -9x2

Reorder the terms:
28 + -9x + -9x2 = -24 + 24 + -19x + 19x + 9x2 + -9x2

Combine like terms: -24 + 24 = 0
28 + -9x + -9x2 = 0 + -19x + 19x + 9x2 + -9x2
28 + -9x + -9x2 = -19x + 19x + 9x2 + -9x2

Combine like terms: -19x + 19x = 0
28 + -9x + -9x2 = 0 + 9x2 + -9x2
28 + -9x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
28 + -9x + -9x2 = 0

Factor a trinomial.
(4 + -3x)(7 + 3x) = 0


Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {1.333333333, -2.333333333}

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