-(4x+5)(6x-7)=0

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Solution for -(4x+5)(6x-7)=0 equation: 


Simplifying
-1(4x + 5)(6x + -7) = 0

Reorder the terms:
-1(5 + 4x)(6x + -7) = 0

Reorder the terms:
-1(5 + 4x)(-7 + 6x) = 0

Multiply (5 + 4x) * (-7 + 6x)
-1(5(-7 + 6x) + 4x * (-7 + 6x)) = 0
-1((-7 * 5 + 6x * 5) + 4x * (-7 + 6x)) = 0
-1((-35 + 30x) + 4x * (-7 + 6x)) = 0
-1(-35 + 30x + (-7 * 4x + 6x * 4x)) = 0
-1(-35 + 30x + (-28x + 24x2)) = 0

Combine like terms: 30x + -28x = 2x
-1(-35 + 2x + 24x2) = 0
(-35 * -1 + 2x * -1 + 24x2 * -1) = 0
(35 + -2x + -24x2) = 0

Solving
35 + -2x + -24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -6x)(5 + 4x) = 0


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 '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 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 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25
Solution
x = {1.166666667, -1.25}

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