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

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Solution for (6x-7)(7x+10)= equation: 


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

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

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

Multiply (-7 + 6x) * (10 + 7x)
(-7(10 + 7x) + 6x * (10 + 7x)) = 0
((10 * -7 + 7x * -7) + 6x * (10 + 7x)) = 0
((-70 + -49x) + 6x * (10 + 7x)) = 0
(-70 + -49x + (10 * 6x + 7x * 6x)) = 0
(-70 + -49x + (60x + 42x2)) = 0

Combine like terms: -49x + 60x = 11x
(-70 + 11x + 42x2) = 0

Solving
-70 + 11x + 42x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -7x)(7 + -6x) = 0


Subproblem 1
Set the factor '(-10 + -7x)' equal to zero and attempt to solve:

Simplifying
-10 + -7x = 0

Solving
-10 + -7x = 0

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

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

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

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

Divide each side by '-7'.
x = -1.428571429

Simplifying
x = -1.428571429

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 = {-1.428571429, 1.166666667}

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