(5x+3)(10x-7)=0

Simple and best practice solution for (5x+3)(10x-7)=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 (5x+3)(10x-7)=0 equation: 


Simplifying
(5x + 3)(10x + -7) = 0

Reorder the terms:
(3 + 5x)(10x + -7) = 0

Reorder the terms:
(3 + 5x)(-7 + 10x) = 0

Multiply (3 + 5x) * (-7 + 10x)
(3(-7 + 10x) + 5x * (-7 + 10x)) = 0
((-7 * 3 + 10x * 3) + 5x * (-7 + 10x)) = 0
((-21 + 30x) + 5x * (-7 + 10x)) = 0
(-21 + 30x + (-7 * 5x + 10x * 5x)) = 0
(-21 + 30x + (-35x + 50x2)) = 0

Combine like terms: 30x + -35x = -5x
(-21 + -5x + 50x2) = 0

Solving
-21 + -5x + 50x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -5x)(7 + -10x) = 0


Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 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 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

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

Simplifying
x = -0.6

Subproblem 2
Set the factor '(7 + -10x)' equal to zero and attempt to solve:

Simplifying
7 + -10x = 0

Solving
7 + -10x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -10x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = 0 + -7
-10x = 0 + -7

Combine like terms: 0 + -7 = -7
-10x = -7

Divide each side by '-10'.
x = 0.7

Simplifying
x = 0.7
Solution
x = {-0.6, 0.7}

See similar equations:

| 2(x-3)=5-(x-1) | | x^4-6x^3+17x^2-54x+72=0 | | 3(2x-1)-(x-1)=0 | | 6x+5=23-x | | -3x+5=-7x-15 | | f(n)=3n+12 | | 12a+8-3a=7 | | (7y-2)2=75 | | p+20+p+(p-26)*3=774 | | (74-2)2=75 | | x=4.1 | | p+20+p+3(p-26)=774 | | p+20+p+26-p*3=774 | | 54=27x-x^2 | | (-2)*(-2)*(-2)= | | 5x+8=2x-1 | | x^2-8x=360 | | 4t+16-5= | | x+23=28 | | 4+2(s-4t)= | | 9(5+r)=10+2r | | .04(2x)= | | (3x-7)(3x-5)=0 | | =a(5a-2)-6(2-5a) | | 2c+7c= | | 100[0.04(m+8)]= | | 3x-3=10x+21 | | 3t+3(1-2t)= | | -5-(-11)= | | 2x-7=10x+21 | | 1+(4-7p)-2= | | -6-(6-3p)= |

Equations solver categories