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

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


Simplifying
3x(5 + -7x) + -2(7x + -5) = 0
(5 * 3x + -7x * 3x) + -2(7x + -5) = 0
(15x + -21x2) + -2(7x + -5) = 0

Reorder the terms:
15x + -21x2 + -2(-5 + 7x) = 0
15x + -21x2 + (-5 * -2 + 7x * -2) = 0
15x + -21x2 + (10 + -14x) = 0

Reorder the terms:
10 + 15x + -14x + -21x2 = 0

Combine like terms: 15x + -14x = 1x
10 + 1x + -21x2 = 0

Solving
10 + 1x + -21x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 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 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {0.7142857143, -0.6666666667}

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