(10x+7)(6x-9)=0

Simple and best practice solution for (10x+7)(6x-9)=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 (10x+7)(6x-9)=0 equation: 


Simplifying
(10x + 7)(6x + -9) = 0

Reorder the terms:
(7 + 10x)(6x + -9) = 0

Reorder the terms:
(7 + 10x)(-9 + 6x) = 0

Multiply (7 + 10x) * (-9 + 6x)
(7(-9 + 6x) + 10x * (-9 + 6x)) = 0
((-9 * 7 + 6x * 7) + 10x * (-9 + 6x)) = 0
((-63 + 42x) + 10x * (-9 + 6x)) = 0
(-63 + 42x + (-9 * 10x + 6x * 10x)) = 0
(-63 + 42x + (-90x + 60x2)) = 0

Combine like terms: 42x + -90x = -48x
(-63 + -48x + 60x2) = 0

Solving
-63 + -48x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + -16x + 20x2) = 0

Factor a trinomial.
3((-7 + -10x)(3 + -2x)) = 0

Ignore the factor 3.

Subproblem 1
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

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-0.7, 1.5}

See similar equations:

| 4/y=y/9 | | 3xy-6y=0 | | 6(y+1)=-8y+34 | | 4x-9=11fory | | 5(x-1)+4=29 | | 4(-3x+2)=2(6x-21) | | 7.5-3/4 | | (x+5)(x+2)=31 | | 3(2x-3)-4(x-5)= | | -5w+7(w-3)=-27 | | 2x(6x+3)=0 | | 46+-2x+-1x= | | 3x-12=23 | | sin(3x)-.25=0 | | 28=2(u+8)-4u | | 2q=q^2+100 | | Cos^4x-2cos^2x+1=0 | | 1X+8=-3 | | -17=-7y+2(y-6) | | 5x^4=150 | | 8v+7(v+4)=-2 | | 3x+14=5x-12 | | 2e^2x(x-4)+e^2x=0 | | 3w+10=24 | | -6m-8=73 | | 6m^3+13m^2-28m=0 | | 4(m-5)=4m-5 | | 3(7x-5)=21x-15 | | 5(2x+2)=-3(2x-5) | | -4,5=9x | | ln(6)-ln(x)=-1 | | y-8=4-2(y-3) |

Equations solver categories