(3x+15)(4x-34)=

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Solution for (3x+15)(4x-34)= equation: 


Simplifying
(3x + 15)(4x + -34) = 0

Reorder the terms:
(15 + 3x)(4x + -34) = 0

Reorder the terms:
(15 + 3x)(-34 + 4x) = 0

Multiply (15 + 3x) * (-34 + 4x)
(15(-34 + 4x) + 3x * (-34 + 4x)) = 0
((-34 * 15 + 4x * 15) + 3x * (-34 + 4x)) = 0
((-510 + 60x) + 3x * (-34 + 4x)) = 0
(-510 + 60x + (-34 * 3x + 4x * 3x)) = 0
(-510 + 60x + (-102x + 12x2)) = 0

Combine like terms: 60x + -102x = -42x
(-510 + -42x + 12x2) = 0

Solving
-510 + -42x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-85 + -7x + 2x2) = 0

Factor a trinomial.
6((-5 + -1x)(17 + -2x)) = 0

Ignore the factor 6.

Subproblem 1
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

Subproblem 2
Set the factor '(17 + -2x)' equal to zero and attempt to solve:

Simplifying
17 + -2x = 0

Solving
17 + -2x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 0 + -17
-2x = 0 + -17

Combine like terms: 0 + -17 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5
Solution
x = {-5, 8.5}

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