(7x-10)(2x+3)=

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Solution for (7x-10)(2x+3)= equation: 


Simplifying
(7x + -10)(2x + 3) = 0

Reorder the terms:
(-10 + 7x)(2x + 3) = 0

Reorder the terms:
(-10 + 7x)(3 + 2x) = 0

Multiply (-10 + 7x) * (3 + 2x)
(-10(3 + 2x) + 7x * (3 + 2x)) = 0
((3 * -10 + 2x * -10) + 7x * (3 + 2x)) = 0
((-30 + -20x) + 7x * (3 + 2x)) = 0
(-30 + -20x + (3 * 7x + 2x * 7x)) = 0
(-30 + -20x + (21x + 14x2)) = 0

Combine like terms: -20x + 21x = 1x
(-30 + 1x + 14x2) = 0

Solving
-30 + 1x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2x)(10 + -7x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(10 + -7x)' equal to zero and attempt to solve:

Simplifying
10 + -7x = 0

Solving
10 + -7x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 0 + -10
-7x = 0 + -10

Combine like terms: 0 + -10 = -10
-7x = -10

Divide each side by '-7'.
x = 1.428571429

Simplifying
x = 1.428571429
Solution
x = {-1.5, 1.428571429}

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