(2x-5)(2x+3)=0

Simple and best practice solution for (2x-5)(2x+3)=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)(2x+3)=0 equation: 


Simplifying
(2x + -5)(2x + 3) = 0

Reorder the terms:
(-5 + 2x)(2x + 3) = 0

Reorder the terms:
(-5 + 2x)(3 + 2x) = 0

Multiply (-5 + 2x) * (3 + 2x)
(-5(3 + 2x) + 2x * (3 + 2x)) = 0
((3 * -5 + 2x * -5) + 2x * (3 + 2x)) = 0
((-15 + -10x) + 2x * (3 + 2x)) = 0
(-15 + -10x + (3 * 2x + 2x * 2x)) = 0
(-15 + -10x + (6x + 4x2)) = 0

Combine like terms: -10x + 6x = -4x
(-15 + -4x + 4x2) = 0

Solving
-15 + -4x + 4x2 = 0

Solving for variable 'x'.

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


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:

| 10x-7=-93 | | 2y^2-p-6=0 | | 12x-(2+8x)=12 | | (7-v)(3v-4)=0 | | [(3x^2)y]dx+(4x^3)dy=0 | | 18k+29=11k-55 | | 18k+29=11k-5 | | 7y-56+24=-3y-(-18) | | 7y-56+24=-3-(-18) | | 6x+2=7-(8x-3) | | 3x^5=243 | | (3x)5=243 | | 9n-3=-3n+4 | | 5(x+2)-2=28 | | 5(4x+2)=24 | | 16x-2y=-44 | | 20+3y=12 | | 18k+29=11k+3 | | 18k+29=11k-(-3) | | (5x-30)=(-2x-2) | | (3x^2y)dx+(4x^3)dy=0 | | -16-6k=-4(-8+3k) | | (3x^2)dx+(4x^3)dy=0 | | 4ln(x-5)=12 | | 5-2(6x+9)=3 | | 2(c+1)=5 | | 4(1-2x)=5(3+x) | | 4(5y-1)=(6y+7) | | x-12-10+3x+78=276 | | 117=-3(6n-3) | | (3x+1)=(5x-5) | | 2x+24+9x-0+x=62 |

Equations solver categories