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

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


Simplifying
2x(3x) + -2x(4) + 7(3x) + -7(4) = 0

Remove parenthesis around (3x)
2x * 3x + -2x(4) + 7(3x) + -7(4) = 0

Reorder the terms for easier multiplication:
2 * 3x * x + -2x(4) + 7(3x) + -7(4) = 0

Multiply 2 * 3
6x * x + -2x(4) + 7(3x) + -7(4) = 0

Multiply x * x
6x2 + -2x(4) + 7(3x) + -7(4) = 0

Reorder the terms for easier multiplication:
6x2 + -2 * 4x + 7(3x) + -7(4) = 0

Multiply -2 * 4
6x2 + -8x + 7(3x) + -7(4) = 0

Remove parenthesis around (3x)
6x2 + -8x + 7 * 3x + -7(4) = 0

Multiply 7 * 3
6x2 + -8x + 21x + -7(4) = 0

Multiply -7 * 4
6x2 + -8x + 21x + -28 = 0

Reorder the terms:
-28 + -8x + 21x + 6x2 = 0

Combine like terms: -8x + 21x = 13x
-28 + 13x + 6x2 = 0

Solving
-28 + 13x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -2x)(4 + -3x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-3.5, 1.333333333}

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