34=(5x-3)(x-2)

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Solution for 34=(5x-3)(x-2) equation: 


Simplifying
34 = (5x + -3)(x + -2)

Reorder the terms:
34 = (-3 + 5x)(x + -2)

Reorder the terms:
34 = (-3 + 5x)(-2 + x)

Multiply (-3 + 5x) * (-2 + x)
34 = (-3(-2 + x) + 5x * (-2 + x))
34 = ((-2 * -3 + x * -3) + 5x * (-2 + x))
34 = ((6 + -3x) + 5x * (-2 + x))
34 = (6 + -3x + (-2 * 5x + x * 5x))
34 = (6 + -3x + (-10x + 5x2))

Combine like terms: -3x + -10x = -13x
34 = (6 + -13x + 5x2)

Solving
34 = 6 + -13x + 5x2

Solving for variable 'x'.

Combine like terms: 34 + -6 = 28
28 + 13x + -5x2 = 6 + -13x + 5x2 + -6 + 13x + -5x2

Reorder the terms:
28 + 13x + -5x2 = 6 + -6 + -13x + 13x + 5x2 + -5x2

Combine like terms: 6 + -6 = 0
28 + 13x + -5x2 = 0 + -13x + 13x + 5x2 + -5x2
28 + 13x + -5x2 = -13x + 13x + 5x2 + -5x2

Combine like terms: -13x + 13x = 0
28 + 13x + -5x2 = 0 + 5x2 + -5x2
28 + 13x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
28 + 13x + -5x2 = 0

Factor a trinomial.
(4 + -1x)(7 + 5x) = 0


Subproblem 1
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

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 = {4, -1.4}

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