(4x+1)(5x-2)=0

Simple and best practice solution for (4x+1)(5x-2)=0 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+1)(5x-2)=0 equation:


Simplifying
(4x + 1)(5x + -2) = 0

Reorder the terms:
(1 + 4x)(5x + -2) = 0

Reorder the terms:
(1 + 4x)(-2 + 5x) = 0

Multiply (1 + 4x) * (-2 + 5x)
(1(-2 + 5x) + 4x * (-2 + 5x)) = 0
((-2 * 1 + 5x * 1) + 4x * (-2 + 5x)) = 0
((-2 + 5x) + 4x * (-2 + 5x)) = 0
(-2 + 5x + (-2 * 4x + 5x * 4x)) = 0
(-2 + 5x + (-8x + 20x2)) = 0

Combine like terms: 5x + -8x = -3x
(-2 + -3x + 20x2) = 0

Solving
-2 + -3x + 20x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 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 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25

Subproblem 2

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Solution

x = {-0.25, 0.4}

See similar equations:

| (x+2)(x)=24 | | 9x-7.2=4.5 | | 7=-1+2x-3x | | X+18.50=6.10 | | -6(z+2)+2z= | | -5a-7a= | | 6=z-7p | | x(2x)=24 | | -4=-a+8 | | 9x+8y=106 | | -3+1/2x+8=-7 | | -4x+10=6x+-40 | | -4d+6(-3-d)=8 | | 23x-8=26+17x+14 | | -155=5+8x | | Y-4r=0 | | 1/6(6) | | 2(x)+2(x+30)=1800 | | 0.7x-[0.1*(100-x)]=22 | | 12x-11=7x+9 | | (x+30)(x)=1800 | | -4h+3+h=15 | | 2*3-4(x-1)=10 | | 1/2+2(3/4-1)=1/4r+6 | | 1/6(x+6) | | x(30x)=1800 | | 25=-5b | | 1/3(x-9)-10 | | 12(2n+2)+3n=3(5n-12)+2n | | 21p(28)=4p | | x/4x5=7 | | 1/2r+2(3/4-1)=1/4R |

Equations solver categories