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

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


Simplifying
3x(2x + -14) = -4(3x + 7) + -1x

Reorder the terms:
3x(-14 + 2x) = -4(3x + 7) + -1x
(-14 * 3x + 2x * 3x) = -4(3x + 7) + -1x
(-42x + 6x2) = -4(3x + 7) + -1x

Reorder the terms:
-42x + 6x2 = -4(7 + 3x) + -1x
-42x + 6x2 = (7 * -4 + 3x * -4) + -1x
-42x + 6x2 = (-28 + -12x) + -1x

Combine like terms: -12x + -1x = -13x
-42x + 6x2 = -28 + -13x

Solving
-42x + 6x2 = -28 + -13x

Solving for variable 'x'.

Reorder the terms:
28 + -42x + 13x + 6x2 = -28 + -13x + 28 + 13x

Combine like terms: -42x + 13x = -29x
28 + -29x + 6x2 = -28 + -13x + 28 + 13x

Reorder the terms:
28 + -29x + 6x2 = -28 + 28 + -13x + 13x

Combine like terms: -28 + 28 = 0
28 + -29x + 6x2 = 0 + -13x + 13x
28 + -29x + 6x2 = -13x + 13x

Combine like terms: -13x + 13x = 0
28 + -29x + 6x2 = 0

Factor a trinomial.
(4 + -3x)(7 + -2x) = 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 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {1.333333333, 3.5}

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