(9x-4)(6x+7)=

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Solution for (9x-4)(6x+7)= equation: 


Simplifying
(9x + -4)(6x + 7) = 0

Reorder the terms:
(-4 + 9x)(6x + 7) = 0

Reorder the terms:
(-4 + 9x)(7 + 6x) = 0

Multiply (-4 + 9x) * (7 + 6x)
(-4(7 + 6x) + 9x * (7 + 6x)) = 0
((7 * -4 + 6x * -4) + 9x * (7 + 6x)) = 0
((-28 + -24x) + 9x * (7 + 6x)) = 0
(-28 + -24x + (7 * 9x + 6x * 9x)) = 0
(-28 + -24x + (63x + 54x2)) = 0

Combine like terms: -24x + 63x = 39x
(-28 + 39x + 54x2) = 0

Solving
-28 + 39x + 54x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -6x)(4 + -9x) = 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 '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444
Solution
x = {-1.166666667, 0.4444444444}

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