(7x+x-2)(3x+5+3)=

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Solution for (7x+x-2)(3x+5+3)= equation: 


Simplifying
(7x + x + -2)(3x + 5 + 3) = 0

Reorder the terms:
(-2 + 7x + x)(3x + 5 + 3) = 0

Combine like terms: 7x + x = 8x
(-2 + 8x)(3x + 5 + 3) = 0

Reorder the terms:
(-2 + 8x)(5 + 3 + 3x) = 0

Combine like terms: 5 + 3 = 8
(-2 + 8x)(8 + 3x) = 0

Multiply (-2 + 8x) * (8 + 3x)
(-2(8 + 3x) + 8x * (8 + 3x)) = 0
((8 * -2 + 3x * -2) + 8x * (8 + 3x)) = 0
((-16 + -6x) + 8x * (8 + 3x)) = 0
(-16 + -6x + (8 * 8x + 3x * 8x)) = 0
(-16 + -6x + (64x + 24x2)) = 0

Combine like terms: -6x + 64x = 58x
(-16 + 58x + 24x2) = 0

Solving
-16 + 58x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 29x + 12x2) = 0

Factor a trinomial.
2((-8 + -3x)(1 + -4x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-2.666666667, 0.25}

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