(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 = -26x
(-15 + -26x + -8x2) = 0

Solving
-15 + -26x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + 26x + 8x2) = 0

Factor a trinomial.
-1((5 + 2x)(3 + 4x)) = 0

Ignore the factor -1.

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:

| 39y=312 | | x-32=70 | | 5x-13=8-12x | | 3t-4=-12+2t | | =200+25+.2 | | 2n-5+1=-26 | | 7m-4=28+m | | 6x^2-2x+36=5x+10 | | 11(2q-8)=(7-3q) | | 4/x=8/8 | | x/1=8/2 | | 3x+12x=120 | | -.75X+2=.5X+6 | | -5x-23=-108 | | 4x+5=-1/3(x-12) | | -9/7=-2/3+1/2u | | Y=2+0.3x | | 3(2y-1)+2y=5 | | 3x+5+2(-x-5)=9x+8 | | (25x^2+5x-2)/25 | | 9t-2=16 | | -3y=9x+1 | | 2x+3/7=5 | | -3m+15= | | f(x)=2x+1+3 | | 3x+5=18x^2+27x-5 | | 14+2x-3=91 | | .25*5,000,000,000= | | -2(x-4)=8 | | (+12)+(-5)-(-14) | | .25*5,000,000,000 | | y-4=-2(x+5) |

Equations solver categories