(2x-14)*(15-3x)=0

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Solution for (2x-14)*(15-3x)=0 equation: 


Simplifying
(2x + -14)(15 + -3x) = 0

Reorder the terms:
(-14 + 2x)(15 + -3x) = 0

Multiply (-14 + 2x) * (15 + -3x)
(-14(15 + -3x) + 2x * (15 + -3x)) = 0
((15 * -14 + -3x * -14) + 2x * (15 + -3x)) = 0
((-210 + 42x) + 2x * (15 + -3x)) = 0
(-210 + 42x + (15 * 2x + -3x * 2x)) = 0
(-210 + 42x + (30x + -6x2)) = 0

Combine like terms: 42x + 30x = 72x
(-210 + 72x + -6x2) = 0

Solving
-210 + 72x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-35 + 12x + -1x2) = 0

Factor a trinomial.
6((-7 + x)(5 + -1x)) = 0

Ignore the factor 6.

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

Simplifying
-7 + x = 0

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

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

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

Simplifying
x = 7

Subproblem 2
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
Solution
x = {7, 5}

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