(8x+7)(-9x+5)-24c-21=0

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Solution for (8x+7)(-9x+5)-24c-21=0 equation: 


Simplifying
(8x + 7)(-9x + 5) + -24c + -21 = 0

Reorder the terms:
(7 + 8x)(-9x + 5) + -24c + -21 = 0

Reorder the terms:
(7 + 8x)(5 + -9x) + -24c + -21 = 0

Multiply (7 + 8x) * (5 + -9x)
(7(5 + -9x) + 8x * (5 + -9x)) + -24c + -21 = 0
((5 * 7 + -9x * 7) + 8x * (5 + -9x)) + -24c + -21 = 0
((35 + -63x) + 8x * (5 + -9x)) + -24c + -21 = 0
(35 + -63x + (5 * 8x + -9x * 8x)) + -24c + -21 = 0
(35 + -63x + (40x + -72x2)) + -24c + -21 = 0

Combine like terms: -63x + 40x = -23x
(35 + -23x + -72x2) + -24c + -21 = 0

Reorder the terms:
35 + -21 + -24c + -23x + -72x2 = 0

Combine like terms: 35 + -21 = 14
14 + -24c + -23x + -72x2 = 0

Solving
14 + -24c + -23x + -72x2 = 0

Solving for variable 'c'.

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

Add '-14' to each side of the equation.
14 + -24c + -23x + -14 + -72x2 = 0 + -14

Reorder the terms:
14 + -14 + -24c + -23x + -72x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -24c + -23x + -72x2 = 0 + -14
-24c + -23x + -72x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-24c + -23x + -72x2 = -14

Add '23x' to each side of the equation.
-24c + -23x + 23x + -72x2 = -14 + 23x

Combine like terms: -23x + 23x = 0
-24c + 0 + -72x2 = -14 + 23x
-24c + -72x2 = -14 + 23x

Add '72x2' to each side of the equation.
-24c + -72x2 + 72x2 = -14 + 23x + 72x2

Combine like terms: -72x2 + 72x2 = 0
-24c + 0 = -14 + 23x + 72x2
-24c = -14 + 23x + 72x2

Divide each side by '-24'.
c = 0.5833333333 + -0.9583333333x + -3x2

Simplifying
c = 0.5833333333 + -0.9583333333x + -3x2

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