(4p-7)(p+5)=0

Simple and best practice solution for (4p-7)(p+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 (4p-7)(p+5)=0 equation: 


Simplifying
(4p + -7)(p + 5) = 0

Reorder the terms:
(-7 + 4p)(p + 5) = 0

Reorder the terms:
(-7 + 4p)(5 + p) = 0

Multiply (-7 + 4p) * (5 + p)
(-7(5 + p) + 4p * (5 + p)) = 0
((5 * -7 + p * -7) + 4p * (5 + p)) = 0
((-35 + -7p) + 4p * (5 + p)) = 0
(-35 + -7p + (5 * 4p + p * 4p)) = 0
(-35 + -7p + (20p + 4p2)) = 0

Combine like terms: -7p + 20p = 13p
(-35 + 13p + 4p2) = 0

Solving
-35 + 13p + 4p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -1p)(7 + -4p) = 0


Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve:

Simplifying
-5 + -1p = 0

Solving
-5 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1p = 0 + 5
-1p = 0 + 5

Combine like terms: 0 + 5 = 5
-1p = 5

Divide each side by '-1'.
p = -5

Simplifying
p = -5

Subproblem 2
Set the factor '(7 + -4p)' equal to zero and attempt to solve:

Simplifying
7 + -4p = 0

Solving
7 + -4p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -4p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4p = 0 + -7
-4p = 0 + -7

Combine like terms: 0 + -7 = -7
-4p = -7

Divide each side by '-4'.
p = 1.75

Simplifying
p = 1.75
Solution
p = {-5, 1.75}

See similar equations:

| -11-9x=10x+22 | | 20.6+2.1x=-8.2 | | 52x*3+28(3+2x)=58-13x | | -33+17=0 | | 3x+33=0 | | 5(t-0.4)+6t=0 | | 1.2c+2.6=4.56 | | (-3x)+17=16 | | -0.5+4+2x=9 | | 5(x-5)+2(14-3x)=7 | | 5(x-5)+2(14-14-3x)=7 | | 1/3(x+2)-x+4/4=3/4 | | -1/2(-x-6)=-x | | 5x+1y+0.25z=100 | | 108-2x=25x+15 | | -7(x-2)=3x-1 | | -15-9x=8x+19 | | 142-4x=5x+16 | | -14-3x=5x+16 | | 12(3-8x)-9(8-9x)=11(12-7x)-8(1-9x) | | 2/3+8*3+x=16 | | 2(3x-6)= | | 25x-5+2x= | | 2a+(3a-7)= | | 25-275x= | | 3x(-2+5)=2 | | 35-5(2z+3)=20 | | x+11=2x+4 | | 4x+1=x+1 | | x+5=2x+1 | | 5x+48=2x+21 | | x^2+4=13 |

Equations solver categories