(9x-4)(7x+10)=

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Solution for (9x-4)(7x+10)= equation: 


Simplifying
(9x + -4)(7x + 10) = 0

Reorder the terms:
(-4 + 9x)(7x + 10) = 0

Reorder the terms:
(-4 + 9x)(10 + 7x) = 0

Multiply (-4 + 9x) * (10 + 7x)
(-4(10 + 7x) + 9x * (10 + 7x)) = 0
((10 * -4 + 7x * -4) + 9x * (10 + 7x)) = 0
((-40 + -28x) + 9x * (10 + 7x)) = 0
(-40 + -28x + (10 * 9x + 7x * 9x)) = 0
(-40 + -28x + (90x + 63x2)) = 0

Combine like terms: -28x + 90x = 62x
(-40 + 62x + 63x2) = 0

Solving
-40 + 62x + 63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -7x)(4 + -9x) = 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 '(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 = {-1.428571429, 0.4444444444}

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