5(5x-2)(6x+7)=0

Simple and best practice solution for 5(5x-2)(6x+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 5(5x-2)(6x+7)=0 equation: 


Simplifying
5(5x + -2)(6x + 7) = 0

Reorder the terms:
5(-2 + 5x)(6x + 7) = 0

Reorder the terms:
5(-2 + 5x)(7 + 6x) = 0

Multiply (-2 + 5x) * (7 + 6x)
5(-2(7 + 6x) + 5x * (7 + 6x)) = 0
5((7 * -2 + 6x * -2) + 5x * (7 + 6x)) = 0
5((-14 + -12x) + 5x * (7 + 6x)) = 0
5(-14 + -12x + (7 * 5x + 6x * 5x)) = 0
5(-14 + -12x + (35x + 30x2)) = 0

Combine like terms: -12x + 35x = 23x
5(-14 + 23x + 30x2) = 0
(-14 * 5 + 23x * 5 + 30x2 * 5) = 0
(-70 + 115x + 150x2) = 0

Solving
-70 + 115x + 150x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-14 + 23x + 30x2) = 0

Factor a trinomial.
5((-7 + -6x)(2 + -5x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-7 + -6x)' equal to zero and attempt to solve:

Simplifying
-7 + -6x = 0

Solving
-7 + -6x = 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 + -6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = 0 + 7
-6x = 0 + 7

Combine like terms: 0 + 7 = 7
-6x = 7

Divide each side by '-6'.
x = -1.166666667

Simplifying
x = -1.166666667

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-1.166666667, 0.4}

See similar equations:

| b^2+6b=216 | | -2x+8=2x-8 | | 3x^2=19x-16 | | 4x=2+2 | | -x/2+26=63 | | 2m-11m+14=0 | | -8+x/5=5 | | 6x+4x=22 | | w^2-7w=60 | | 2m=11m-14 | | 7x+x+21-5x=11 | | 71-8x+3x-51=95 | | -4x-15+3x-x+2=26 | | 64+112x-16x^2=0 | | (1000-q)q-22500+400= | | x+11-4x=23 | | 3(x+1)=2(x-4) | | 2x-6y=5 | | 8y-2=9y | | 6x^2-24x=126 | | 15x-210=30(x-5) | | -6x-15=27 | | 3x+5x+y+5y+x+y+12=360 | | 2w^2+8w-234=0 | | 98+7x=203 | | p-32=34/9(20-5) | | 200x-0.3x^2-0.1x^2+24x+284= | | 86-3x=164 | | 2x+35=85 | | 103/4x-6=7x+9 | | p-32=34/9(18-5) | | 4x-8(6-x)=6 |

Equations solver categories