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

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Solution for (2x-3)(-5x+2)(-7)=0 equation: 


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

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

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

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

Multiply (-3 + 2x) * (2 + -5x)
-7(-3(2 + -5x) + 2x * (2 + -5x)) = 0
-7((2 * -3 + -5x * -3) + 2x * (2 + -5x)) = 0
-7((-6 + 15x) + 2x * (2 + -5x)) = 0
-7(-6 + 15x + (2 * 2x + -5x * 2x)) = 0
-7(-6 + 15x + (4x + -10x2)) = 0

Combine like terms: 15x + 4x = 19x
-7(-6 + 19x + -10x2) = 0
(-6 * -7 + 19x * -7 + -10x2 * -7) = 0
(42 + -133x + 70x2) = 0

Solving
42 + -133x + 70x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(6 + -19x + 10x2) = 0

Factor a trinomial.
7((2 + -5x)(3 + -2x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

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

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.4, 1.5}

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