35x^2-60x+8=1-6x

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Solution for 35x^2-60x+8=1-6x equation: 


Simplifying
35x2 + -60x + 8 = 1 + -6x

Reorder the terms:
8 + -60x + 35x2 = 1 + -6x

Solving
8 + -60x + 35x2 = 1 + -6x

Solving for variable 'x'.

Reorder the terms:
8 + -1 + -60x + 6x + 35x2 = 1 + -6x + -1 + 6x

Combine like terms: 8 + -1 = 7
7 + -60x + 6x + 35x2 = 1 + -6x + -1 + 6x

Combine like terms: -60x + 6x = -54x
7 + -54x + 35x2 = 1 + -6x + -1 + 6x

Reorder the terms:
7 + -54x + 35x2 = 1 + -1 + -6x + 6x

Combine like terms: 1 + -1 = 0
7 + -54x + 35x2 = 0 + -6x + 6x
7 + -54x + 35x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
7 + -54x + 35x2 = 0

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


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

Simplifying
1 + -7x = 0

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

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

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

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429

Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {0.1428571429, 1.4}

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