(9x^2-1)-5(x-2)-(4x^2+9)-(5x+2)(x-1)=0

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Solution for (9x^2-1)-5(x-2)-(4x^2+9)-(5x+2)(x-1)=0 equation: 


Simplifying
(9x2 + -1) + -5(x + -2) + -1(4x2 + 9) + -1(5x + 2)(x + -1) = 0

Reorder the terms:
(-1 + 9x2) + -5(x + -2) + -1(4x2 + 9) + -1(5x + 2)(x + -1) = 0

Remove parenthesis around (-1 + 9x2)
-1 + 9x2 + -5(x + -2) + -1(4x2 + 9) + -1(5x + 2)(x + -1) = 0

Reorder the terms:
-1 + 9x2 + -5(-2 + x) + -1(4x2 + 9) + -1(5x + 2)(x + -1) = 0
-1 + 9x2 + (-2 * -5 + x * -5) + -1(4x2 + 9) + -1(5x + 2)(x + -1) = 0
-1 + 9x2 + (10 + -5x) + -1(4x2 + 9) + -1(5x + 2)(x + -1) = 0

Reorder the terms:
-1 + 9x2 + 10 + -5x + -1(9 + 4x2) + -1(5x + 2)(x + -1) = 0
-1 + 9x2 + 10 + -5x + (9 * -1 + 4x2 * -1) + -1(5x + 2)(x + -1) = 0
-1 + 9x2 + 10 + -5x + (-9 + -4x2) + -1(5x + 2)(x + -1) = 0

Reorder the terms:
-1 + 9x2 + 10 + -5x + -9 + -4x2 + -1(2 + 5x)(x + -1) = 0

Reorder the terms:
-1 + 9x2 + 10 + -5x + -9 + -4x2 + -1(2 + 5x)(-1 + x) = 0

Multiply (2 + 5x) * (-1 + x)
-1 + 9x2 + 10 + -5x + -9 + -4x2 + -1(2(-1 + x) + 5x * (-1 + x)) = 0
-1 + 9x2 + 10 + -5x + -9 + -4x2 + -1((-1 * 2 + x * 2) + 5x * (-1 + x)) = 0
-1 + 9x2 + 10 + -5x + -9 + -4x2 + -1((-2 + 2x) + 5x * (-1 + x)) = 0
-1 + 9x2 + 10 + -5x + -9 + -4x2 + -1(-2 + 2x + (-1 * 5x + x * 5x)) = 0
-1 + 9x2 + 10 + -5x + -9 + -4x2 + -1(-2 + 2x + (-5x + 5x2)) = 0

Combine like terms: 2x + -5x = -3x
-1 + 9x2 + 10 + -5x + -9 + -4x2 + -1(-2 + -3x + 5x2) = 0
-1 + 9x2 + 10 + -5x + -9 + -4x2 + (-2 * -1 + -3x * -1 + 5x2 * -1) = 0
-1 + 9x2 + 10 + -5x + -9 + -4x2 + (2 + 3x + -5x2) = 0

Reorder the terms:
-1 + 10 + -9 + 2 + -5x + 3x + 9x2 + -4x2 + -5x2 = 0

Combine like terms: -1 + 10 = 9
9 + -9 + 2 + -5x + 3x + 9x2 + -4x2 + -5x2 = 0

Combine like terms: 9 + -9 = 0
0 + 2 + -5x + 3x + 9x2 + -4x2 + -5x2 = 0
2 + -5x + 3x + 9x2 + -4x2 + -5x2 = 0

Combine like terms: -5x + 3x = -2x
2 + -2x + 9x2 + -4x2 + -5x2 = 0

Combine like terms: 9x2 + -4x2 = 5x2
2 + -2x + 5x2 + -5x2 = 0

Combine like terms: 5x2 + -5x2 = 0
2 + -2x + 0 = 0
2 + -2x = 0

Solving
2 + -2x = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -2x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 0 + -2
-2x = 0 + -2

Combine like terms: 0 + -2 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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