x^2+(x*2)*3-5=35

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Solution for x^2+(x*2)*3-5=35 equation: 


Simplifying
x2 + (x * 2) * 3 + -5 = 35

Reorder the terms for easier multiplication:
x2 + (2x) * 3 + -5 = 35

Remove parenthesis around (2x)
x2 + 2x * 3 + -5 = 35

Reorder the terms for easier multiplication:
x2 + 2 * 3x + -5 = 35

Multiply 2 * 3
x2 + 6x + -5 = 35

Reorder the terms:
-5 + 6x + x2 = 35

Solving
-5 + 6x + x2 = 35

Solving for variable 'x'.

Reorder the terms:
-5 + -35 + 6x + x2 = 35 + -35

Combine like terms: -5 + -35 = -40
-40 + 6x + x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-40 + 6x + x2 = 0

Factor a trinomial.
(-10 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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

Simplifying
4 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-10, 4}

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