(x+2)(3x+x)(.5)=70

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Solution for (x+2)(3x+x)(.5)=70 equation: 


Simplifying
(x + 2)(3x + x)(0.5) = 70

Reorder the terms:
(2 + x)(3x + x)(0.5) = 70

Combine like terms: 3x + x = 4x
(2 + x)(4x)(0.5) = 70

Remove parenthesis around (4x)
(2 + x) * 4x(0.5) = 70

Reorder the terms for easier multiplication:
4 * 0.5x(2 + x) = 70

Multiply 4 * 0.5
2x(2 + x) = 70
(2 * 2x + x * 2x) = 70
(4x + 2x2) = 70

Solving
4x + 2x2 = 70

Solving for variable 'x'.

Reorder the terms:
-70 + 4x + 2x2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + 2x + x2) = 0

Factor a trinomial.
2((-7 + -1x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-7, 5}

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