(5x+4)*(3x-10)=

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Solution for (5x+4)*(3x-10)= equation: 


Simplifying
(5x + 4)(3x + -10) = 0

Reorder the terms:
(4 + 5x)(3x + -10) = 0

Reorder the terms:
(4 + 5x)(-10 + 3x) = 0

Multiply (4 + 5x) * (-10 + 3x)
(4(-10 + 3x) + 5x * (-10 + 3x)) = 0
((-10 * 4 + 3x * 4) + 5x * (-10 + 3x)) = 0
((-40 + 12x) + 5x * (-10 + 3x)) = 0
(-40 + 12x + (-10 * 5x + 3x * 5x)) = 0
(-40 + 12x + (-50x + 15x2)) = 0

Combine like terms: 12x + -50x = -38x
(-40 + -38x + 15x2) = 0

Solving
-40 + -38x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -5x)(10 + -3x) = 0


Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 0 + 4
-5x = 0 + 4

Combine like terms: 0 + 4 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 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 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {-0.8, 3.333333333}

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