(2x+5)*(4x-3)=0

Simple and best practice solution for (2x+5)*(4x-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)*(4x-3)=0 equation: 


Simplifying
(2x + 5)(4x + -3) = 0

Reorder the terms:
(5 + 2x)(4x + -3) = 0

Reorder the terms:
(5 + 2x)(-3 + 4x) = 0

Multiply (5 + 2x) * (-3 + 4x)
(5(-3 + 4x) + 2x * (-3 + 4x)) = 0
((-3 * 5 + 4x * 5) + 2x * (-3 + 4x)) = 0
((-15 + 20x) + 2x * (-3 + 4x)) = 0
(-15 + 20x + (-3 * 2x + 4x * 2x)) = 0
(-15 + 20x + (-6x + 8x2)) = 0

Combine like terms: 20x + -6x = 14x
(-15 + 14x + 8x2) = 0

Solving
-15 + 14x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -2x)(3 + -4x) = 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 '(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
Solution
x = {-2.5, 0.75}

See similar equations:

| 24+4x=4x | | 10000+100w=5000 | | b=b^2 | | 2x-49=17 | | 2c^2=-3c | | 4(T-5)+2=-9+c+5 | | 2x+6=-38 | | x^2+x^2-14x-49=169 | | 6x+7(-2x-17)=-175 | | 13x^2+39x=0 | | 3(j-6)=j+10 | | (2x+8)(2x+7)= | | 3q^2-6q=0 | | 20+5x=55 | | cox(2x)-9=0 | | 2x+5=11x-4 | | 3x-4-(2x+3)=0 | | 100x=0.81 | | 7500.00+155.00=92440 | | C=240+8k | | f(x)=tan^2(x)-3 | | f(x)=tan^2(x-3) | | x^3+8x^2-14x-12=0 | | 5x+10=7x-70 | | c*2+5c+4=0 | | 5y+11=28 | | 6x=178 | | e^11x+5=4 | | -15-4x=7-3 | | 18-3n=3 | | -4n+2=-2n-2 | | 8y-2=7 |

Equations solver categories