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

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


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

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

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

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

Combine like terms: -4x + 25x = 21x
(-10 + 21x + 10x2) = 0

Solving
-10 + 21x + 10x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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 = {-2.5, 0.4}

See similar equations:

| 9x-4=9x+36 | | (6(x-1))/3=(2x+10)/7 | | -1/8+y=-1/4 | | 6(x-1)/3=2x+10/7 | | 6(x-1)/3=2x+10 | | x^2-2.5x+2.5=0 | | -(1/8)+y=-(1/4) | | 6(x-1)/3 | | 2(4-x)-3(5-x)=3 | | 3(3n+4)=6(9n+4)+6 | | (5a^8/10a^6)^-3 | | 5(3n+4)=7(7n+9)+3 | | 0.3x-2=x+0.03 | | (3x-(3/4))=(3x+(3/6)) | | 8(3n+3)=6(7n+4)+6 | | 8.93-0.11(x+3)=1.25x+0.9(x-3) | | 4(2n+3)=6(6n+4)+3 | | 3/15-3/4 | | -0.8=0.13x-0.21x | | 6(3x+5)=18x+30 | | 4x^2-16y=0 | | 3(x+1)/5=2x-5 | | 3x+3/5 | | 5x=(30/6) | | -5y+10=2 | | n^2+n-480=0 | | 5x^2+Y^2=19 | | 12y-6-4y=6 | | 4x+20=80 | | 3x+9=16+2x | | 2s+12*3=s+7*2+3s*2 | | 6+4=201 |

Equations solver categories