-9x^2+4x-7=x(4+9x)-7

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Solution for -9x^2+4x-7=x(4+9x)-7 equation: 


Simplifying
-9x2 + 4x + -7 = x(4 + 9x) + -7

Reorder the terms:
-7 + 4x + -9x2 = x(4 + 9x) + -7
-7 + 4x + -9x2 = (4 * x + 9x * x) + -7
-7 + 4x + -9x2 = (4x + 9x2) + -7

Reorder the terms:
-7 + 4x + -9x2 = -7 + 4x + 9x2

Add '7' to each side of the equation.
-7 + 4x + 7 + -9x2 = -7 + 4x + 7 + 9x2

Reorder the terms:
-7 + 7 + 4x + -9x2 = -7 + 4x + 7 + 9x2

Combine like terms: -7 + 7 = 0
0 + 4x + -9x2 = -7 + 4x + 7 + 9x2
4x + -9x2 = -7 + 4x + 7 + 9x2

Reorder the terms:
4x + -9x2 = -7 + 7 + 4x + 9x2

Combine like terms: -7 + 7 = 0
4x + -9x2 = 0 + 4x + 9x2
4x + -9x2 = 4x + 9x2

Add '-4x' to each side of the equation.
4x + -4x + -9x2 = 4x + -4x + 9x2

Combine like terms: 4x + -4x = 0
0 + -9x2 = 4x + -4x + 9x2
-9x2 = 4x + -4x + 9x2

Combine like terms: 4x + -4x = 0
-9x2 = 0 + 9x2
-9x2 = 9x2

Solving
-9x2 = 9x2

Solving for variable 'x'.

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

Add '-9x2' to each side of the equation.
-9x2 + -9x2 = 9x2 + -9x2

Combine like terms: -9x2 + -9x2 = -18x2
-18x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-18x2 = 0

Divide each side by '-18'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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