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

Simple and best practice solution for (10x-2)(4x+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 (10x-2)(4x+3)= equation:


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

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

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

Multiply (-2 + 10x) * (3 + 4x)
(-2(3 + 4x) + 10x * (3 + 4x)) = 0
((3 * -2 + 4x * -2) + 10x * (3 + 4x)) = 0
((-6 + -8x) + 10x * (3 + 4x)) = 0
(-6 + -8x + (3 * 10x + 4x * 10x)) = 0
(-6 + -8x + (30x + 40x2)) = 0

Combine like terms: -8x + 30x = 22x
(-6 + 22x + 40x2) = 0

Solving
-6 + 22x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 11x + 20x2) = 0

Factor a trinomial.
2((-3 + -4x)(1 + -5x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Solution

x = {-0.75, 0.2}

See similar equations:

| 4.75v+18.75=17.5 | | -6x-5y=3 | | 28+2y=12 | | 90=(15x+15x^2) | | a+30=17 | | 28y=11 | | 72r=34.5 | | x-3=85 | | x+-3=93 | | 5(2x-5)-10=65 | | 2(4-3x)-6x=10 | | x-3=93 | | g(x)=-3x^2+6x+5 | | y=15000*1,0275*5 | | 2b+-6=-23.5 | | 4x-59=2x-9 | | y=15000*1,0275 | | x+2x-14=242 | | -1.5y=-27.5 | | 2-5cos^2x+1=0 | | (d+9)(d+1)= | | 23.5=5.5s | | 4(5s+3)=14x+30 | | 2x^2-20x-30=0 | | 7m+6m-9m^2+8m= | | (w+7)(w+11)= | | x+6+2w-25=180 | | 2(1+x)=x+12 | | (w+1)(w+77)= | | z-30=z/6 | | 8x-4=10x-18 | | 0=6.28r^2+146.952r-1175.0508 |

Equations solver categories