(5x+3z)(5x-7z)=

Simple and best practice solution for (5x+3z)(5x-7z)= 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+3z)(5x-7z)= equation: 


Simplifying
(5x + 3z)(5x + -7z) = 0

Multiply (5x + 3z) * (5x + -7z)
(5x * (5x + -7z) + 3z * (5x + -7z)) = 0
((5x * 5x + -7z * 5x) + 3z * (5x + -7z)) = 0

Reorder the terms:
((-35xz + 25x2) + 3z * (5x + -7z)) = 0
((-35xz + 25x2) + 3z * (5x + -7z)) = 0
(-35xz + 25x2 + (5x * 3z + -7z * 3z)) = 0
(-35xz + 25x2 + (15xz + -21z2)) = 0

Reorder the terms:
(-35xz + 15xz + 25x2 + -21z2) = 0

Combine like terms: -35xz + 15xz = -20xz
(-20xz + 25x2 + -21z2) = 0

Solving
-20xz + 25x2 + -21z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -7z)(5x + 3z) = 0


Subproblem 1
Set the factor '(5x + -7z)' equal to zero and attempt to solve:

Simplifying
5x + -7z = 0

Solving
5x + -7z = 0

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

Add '7z' to each side of the equation.
5x + -7z + 7z = 0 + 7z

Combine like terms: -7z + 7z = 0
5x + 0 = 0 + 7z
5x = 0 + 7z
Remove the zero:
5x = 7z

Divide each side by '5'.
x = 1.4z

Simplifying
x = 1.4z

Subproblem 2
Set the factor '(5x + 3z)' equal to zero and attempt to solve:

Simplifying
5x + 3z = 0

Solving
5x + 3z = 0

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

Add '-3z' to each side of the equation.
5x + 3z + -3z = 0 + -3z

Combine like terms: 3z + -3z = 0
5x + 0 = 0 + -3z
5x = 0 + -3z
Remove the zero:
5x = -3z

Divide each side by '5'.
x = -0.6z

Simplifying
x = -0.6z
Solution
x = {1.4z, -0.6z}

See similar equations:

| b=23ab+17a | | n^2-20n+61=-3 | | 2(x+4)+4=18+5x | | ×/111 | | 6.5y+13= | | -2(10m-2)=-25m^2 | | (x+y)dx+(x+3y)dy=0 | | 8x^2-16x-62=-9 | | -16t^2+19.6t-14.7=0 | | 4y-5+5y-7= | | 2w+3+4w=-5-4 | | -(5x^2-5x+5)= | | (1/2x)-9=12 | | 7t-19t= | | (r+7)(r-5)=5(5-r) | | 6x+5=-2(8+7x) | | -25+3k=k-3k | | 3(y+11)+10y=-6 | | -25+7x=5(-7x-5)-4x | | 6(9.19)+10=x | | X-7y=63 | | 14-6x=-6x+19 | | 4x+14=8x+16 | | 3(2x-2.5)=8x-7.5 | | 24=(w+2)(w) | | 2(6+7c)= | | b^2+12b-86=10 | | 4x+14=2x+4 | | -(7x^2-5x+5)= | | 2x+5y+.7z=100 | | 620/10^3 | | Z+4=5z |

Equations solver categories