(5x-25)(7x+21)=

Simple and best practice solution for (5x-25)(7x+21)= 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 (5x-25)(7x+21)= equation: 


Simplifying
(5x + -25)(7x + 21) = 0

Reorder the terms:
(-25 + 5x)(7x + 21) = 0

Reorder the terms:
(-25 + 5x)(21 + 7x) = 0

Multiply (-25 + 5x) * (21 + 7x)
(-25(21 + 7x) + 5x * (21 + 7x)) = 0
((21 * -25 + 7x * -25) + 5x * (21 + 7x)) = 0
((-525 + -175x) + 5x * (21 + 7x)) = 0
(-525 + -175x + (21 * 5x + 7x * 5x)) = 0
(-525 + -175x + (105x + 35x2)) = 0

Combine like terms: -175x + 105x = -70x
(-525 + -70x + 35x2) = 0

Solving
-525 + -70x + 35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '35'.
35(-15 + -2x + x2) = 0

Factor a trinomial.
35((-3 + -1x)(5 + -1x)) = 0

Ignore the factor 35.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

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

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

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

Simplifying
x = 5
Solution
x = {-3, 5}

See similar equations:

| (3x+24)(9x-54)= | | (x-8)(10x+50)= | | 1.2q-3.6-2.8q=-2.6q-1.8 | | (x+3)(2x+4)= | | 7y+9=8y+8 | | 2x+6-6=14-6 | | 5x^2+570x-36=0 | | 2x*5x=x | | 2x^2-10x=10 | | 10x^2-10x=10 | | 4y^2-18y-10=0 | | a+b+c+d+e/5=30 | | 32-(-58)=15a | | -0.3(7n-31.2)=.456 | | y^2(4y^2-18y-10)=0 | | 1/3h-3-3/4h=2 | | 5x+6=10x+15 | | 1/3h-3-3/4h | | 1/3h-3/4h | | (x-2)(x-2)=16 | | .08x=60000 | | y-4/y-1=y-2/y-6+1 | | |x+2|=10 | | |3x-4|=15 | | 14+5-5v=4(v+5) | | +2=10 | | f(x)=x^3-4x^2-7x+10 | | x=(5x-3)/x | | x=(2x+15)/x | | x=2x+15/x | | x=2x/x+15/x | | -3x^2+5x+5=0 |

Equations solver categories