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

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


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

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

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

Multiply (-5 + 2x) * (4 + 5x)
(-5(4 + 5x) + 2x * (4 + 5x)) = 0
((4 * -5 + 5x * -5) + 2x * (4 + 5x)) = 0
((-20 + -25x) + 2x * (4 + 5x)) = 0
(-20 + -25x + (4 * 2x + 5x * 2x)) = 0
(-20 + -25x + (8x + 10x2)) = 0

Combine like terms: -25x + 8x = -17x
(-20 + -17x + 10x2) = 0

Solving
-20 + -17x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -5x)(5 + -2x) = 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 '(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 = {-0.8, 2.5}

See similar equations:

| 2x^2=48x | | 1/2+7=8 | | 3(x+1.62)=2x | | 6x+17-5x=-8-13 | | -7=-1/6 | | 5x^4-9x^3-4x^2=0 | | -5+2t=14 | | 18xy^2-24x^2y= | | (x*x)-4x+2=0 | | 49y=24(2y+16) | | 5x-21=8x+30 | | 5x-21=8x+7 | | 6(x+5)-6=10 | | 4m^3=2-19m-23m^2 | | 5x-6=6x-12 | | (x*x)-3x+1=0 | | -8=5 | | 13-48=3(x-4)-5 | | x+(2x+21)=90 | | -x=0.39 | | 5y(3y+5)(y-7)= | | 2.5x-3.3=1.7 | | 9(21-x)=17(2x-1) | | -8+4x=x-6+3-2 | | 14xz-18xz^2= | | 3G-3=3(7-y) | | (-4)(-5)(-6)= | | 7(-9)= | | 3x-2(1)=-8 | | 80=-8(-2-2z) | | 17-(4)-(-3)= | | y^2-5y-24=-6y-4 |

Equations solver categories