4x(2x-1)=2x+35

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Solution for 4x(2x-1)=2x+35 equation: 


Simplifying
4x(2x + -1) = 2x + 35

Reorder the terms:
4x(-1 + 2x) = 2x + 35
(-1 * 4x + 2x * 4x) = 2x + 35
(-4x + 8x2) = 2x + 35

Reorder the terms:
-4x + 8x2 = 35 + 2x

Solving
-4x + 8x2 = 35 + 2x

Solving for variable 'x'.

Reorder the terms:
-35 + -4x + -2x + 8x2 = 35 + 2x + -35 + -2x

Combine like terms: -4x + -2x = -6x
-35 + -6x + 8x2 = 35 + 2x + -35 + -2x

Reorder the terms:
-35 + -6x + 8x2 = 35 + -35 + 2x + -2x

Combine like terms: 35 + -35 = 0
-35 + -6x + 8x2 = 0 + 2x + -2x
-35 + -6x + 8x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-35 + -6x + 8x2 = 0

Factor a trinomial.
(-7 + -4x)(5 + -2x) = 0


Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve:

Simplifying
-7 + -4x = 0

Solving
-7 + -4x = 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 + -4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = 0 + 7
-4x = 0 + 7

Combine like terms: 0 + 7 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-1.75, 2.5}

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