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

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


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

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

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

Multiply (7 + 6x) * (-7 + -5x)
(7(-7 + -5x) + 6x * (-7 + -5x)) = 0
((-7 * 7 + -5x * 7) + 6x * (-7 + -5x)) = 0
((-49 + -35x) + 6x * (-7 + -5x)) = 0
(-49 + -35x + (-7 * 6x + -5x * 6x)) = 0
(-49 + -35x + (-42x + -30x2)) = 0

Combine like terms: -35x + -42x = -77x
(-49 + -77x + -30x2) = 0

Solving
-49 + -77x + -30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(49 + 77x + 30x2) = 0

Factor a trinomial.
-1((7 + 5x)(7 + 6x)) = 0

Ignore the factor -1.

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

Simplifying
7 + 5x = 0

Solving
7 + 5x = 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 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

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

Simplifying
x = -1.4

Subproblem 2
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
Solution
x = {-1.4, -1.166666667}

See similar equations:

| 0.3(w+3)=0.75+0.3w | | x^4-20x+9=0 | | 2970x=3 | | 48=96p | | -5(-4)-4y=20 | | 8-5/7=-32 | | 15-7y=-42 | | 3(x-1)-2x=-2+3(x-1) | | -21=2a-7 | | -3=12y-5(2y-7)18 | | -5(-5)-4y=20 | | 7+2n=-1 | | 18x=1/3 | | 0.4t=16 | | 36x^2+24x-7=0 | | ((-8y^3/4)/(y^3z^6))^-1/3 | | 36x^2+24-7=0 | | 8-3p=3(-p-2)-7(3p-6) | | -25x+51-47x=225 | | 5x+3.2=18.2 | | 21x-(3x-9)=18 | | 4x-2x+5=0 | | 105=2x-5(2x-13) | | 72-16=x | | -3x=14y | | 6-4a=2(-a+3)-4(2a-1) | | 6x-(-4x+2)=(x-1)-5(7x-8) | | 46x-2(3x-15)=60 | | [p-5]-12=-9 | | 3(-t+3)-5(4t-1)=t+2+3t | | y=2/3x-1 | | x(x+3)=4 |

Equations solver categories