(4x-10)(2x+3)=

Simple and best practice solution for (4x-10)(2x+3)= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (4x-10)(2x+3)= equation: 


Simplifying
(4x + -10)(2x + 3) = 0

Reorder the terms:
(-10 + 4x)(2x + 3) = 0

Reorder the terms:
(-10 + 4x)(3 + 2x) = 0

Multiply (-10 + 4x) * (3 + 2x)
(-10(3 + 2x) + 4x * (3 + 2x)) = 0
((3 * -10 + 2x * -10) + 4x * (3 + 2x)) = 0
((-30 + -20x) + 4x * (3 + 2x)) = 0
(-30 + -20x + (3 * 4x + 2x * 4x)) = 0
(-30 + -20x + (12x + 8x2)) = 0

Combine like terms: -20x + 12x = -8x
(-30 + -8x + 8x2) = 0

Solving
-30 + -8x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -4x + 4x2) = 0

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

Ignore the factor 2.

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 '(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 = {-1.5, 2.5}

See similar equations:

| 54-10(7)=-124 | | 54-10y=-124 | | 12=5b-8 | | -14-4(-3)=-2 | | 2(-7)-4(3)=-2 | | 9(-2)-3(3)=-27 | | 9(-2)-3(-5)=-27 | | 9(-2)-3(5)=27 | | 9(-2)-3(3)=27 | | 3(2x-1)-5(x-4)= | | 6c-2c=12 | | 8x+8=4x | | 4x+8=6x | | 3(2x+3)-2=3 | | y=8(1.125)-5 | | y=5(.4)-8 | | 9-2y=-3 | | 9-4y=-7 | | 14-5y=-26 | | 10-2y=6 | | 9-4y=-15 | | 6x+2=4x | | 7-4y=-5 | | 2x^3-17x^2+20x+15=0 | | 11-x=3x | | 44-x^2=x^2 | | 0=5(.8)-4 | | -2=2(0)-1 | | 7x-2-3x=7+4x | | 0=2(.5)-1 | | -1=2(0)-1 | | 7w-6=15 |

Equations solver categories