(x+4-3x^2)+(7x+3x^2-5)=0

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Solution for (x+4-3x^2)+(7x+3x^2-5)=0 equation:


Simplifying
(x + 4 + -3x2) + (7x + 3x2 + -5) = 0

Reorder the terms:
(4 + x + -3x2) + (7x + 3x2 + -5) = 0

Remove parenthesis around (4 + x + -3x2)
4 + x + -3x2 + (7x + 3x2 + -5) = 0

Reorder the terms:
4 + x + -3x2 + (-5 + 7x + 3x2) = 0

Remove parenthesis around (-5 + 7x + 3x2)
4 + x + -3x2 + -5 + 7x + 3x2 = 0

Reorder the terms:
4 + -5 + x + 7x + -3x2 + 3x2 = 0

Combine like terms: 4 + -5 = -1
-1 + x + 7x + -3x2 + 3x2 = 0

Combine like terms: x + 7x = 8x
-1 + 8x + -3x2 + 3x2 = 0

Combine like terms: -3x2 + 3x2 = 0
-1 + 8x + 0 = 0
-1 + 8x = 0

Solving
-1 + 8x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 8x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = 0 + 1
8x = 0 + 1

Combine like terms: 0 + 1 = 1
8x = 1

Divide each side by '8'.
x = 0.125

Simplifying
x = 0.125

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