x(3-4x)=7+4(8-x^2)

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Solution for x(3-4x)=7+4(8-x^2) equation: 


Simplifying
x(3 + -4x) = 7 + 4(8 + -1x2)
(3 * x + -4x * x) = 7 + 4(8 + -1x2)
(3x + -4x2) = 7 + 4(8 + -1x2)
3x + -4x2 = 7 + (8 * 4 + -1x2 * 4)
3x + -4x2 = 7 + (32 + -4x2)

Combine like terms: 7 + 32 = 39
3x + -4x2 = 39 + -4x2

Add '4x2' to each side of the equation.
3x + -4x2 + 4x2 = 39 + -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
3x + 0 = 39 + -4x2 + 4x2
3x = 39 + -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
3x = 39 + 0
3x = 39

Solving
3x = 39

Solving for variable 'x'.

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

Divide each side by '3'.
x = 13

Simplifying
x = 13

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