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

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


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

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

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

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

Combine like terms: -6x + 20x = 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:

| 11x-71=4x+118 | | 5x*x-3x=2 | | 1/6(2x-9)=8 | | 4t+3+11=2 | | 15*100/3-20+250/10 | | 8x-75=21+4x | | -121+x=110+12x | | S=600m/15s | | 6t-25=-32+5t | | -5+5-12/12 | | -24-4x=-6x+22 | | 8x*x+2x=3 | | 4(5t-7)=25t+8 | | 4y-22=-1+y | | 4x-(9x-13)=3 | | 13-m=25 | | 4=w/6.4 | | 8x^2-4x+6=5x+5 | | -18-6x=32-8x | | 1.75x+5=0.25+0.25x | | Y=-6(0)+12 | | -46-2x=6x+106 | | 6x*x-19x=36 | | y+8=-22 | | y=2x^2-x+1 | | 9x-(8x+4)=4x-13 | | 1/2(x-9)^2+4 | | 10=n/5+3 | | 6q^2-8q+50=2q^2-4q+50 | | -31-6x=13-8x | | 49=9x*x | | 7/3x=121/2 |

Equations solver categories