(7x-10)(6x+5)=

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Solution for (7x-10)(6x+5)= equation: 


Simplifying
(7x + -10)(6x + 5) = 0

Reorder the terms:
(-10 + 7x)(6x + 5) = 0

Reorder the terms:
(-10 + 7x)(5 + 6x) = 0

Multiply (-10 + 7x) * (5 + 6x)
(-10(5 + 6x) + 7x * (5 + 6x)) = 0
((5 * -10 + 6x * -10) + 7x * (5 + 6x)) = 0
((-50 + -60x) + 7x * (5 + 6x)) = 0
(-50 + -60x + (5 * 7x + 6x * 7x)) = 0
(-50 + -60x + (35x + 42x2)) = 0

Combine like terms: -60x + 35x = -25x
(-50 + -25x + 42x2) = 0

Solving
-50 + -25x + 42x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -6x)(10 + -7x) = 0


Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 0 + 5
-6x = 0 + 5

Combine like terms: 0 + 5 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

Subproblem 2
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
Solution
x = {-0.8333333333, 1.428571429}

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