2*(x+7)*3*(2x-5)=

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Solution for 2*(x+7)*3*(2x-5)= equation: 


Simplifying
2(x + 7) * 3(2x + -5) = 0

Reorder the terms:
2(7 + x) * 3(2x + -5) = 0

Reorder the terms:
2(7 + x) * 3(-5 + 2x) = 0

Reorder the terms for easier multiplication:
2 * 3(7 + x)(-5 + 2x) = 0

Multiply 2 * 3
6(7 + x)(-5 + 2x) = 0

Multiply (7 + x) * (-5 + 2x)
6(7(-5 + 2x) + x(-5 + 2x)) = 0
6((-5 * 7 + 2x * 7) + x(-5 + 2x)) = 0
6((-35 + 14x) + x(-5 + 2x)) = 0
6(-35 + 14x + (-5 * x + 2x * x)) = 0
6(-35 + 14x + (-5x + 2x2)) = 0

Combine like terms: 14x + -5x = 9x
6(-35 + 9x + 2x2) = 0
(-35 * 6 + 9x * 6 + 2x2 * 6) = 0
(-210 + 54x + 12x2) = 0

Solving
-210 + 54x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-35 + 9x + 2x2) = 0

Factor a trinomial.
6((-7 + -1x)(5 + -2x)) = 0

Ignore the factor 6.

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

Simplifying
-7 + -1x = 0

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

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

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

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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 = {-7, 2.5}

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