(x-3)(x-3)-x(x-4)=7x+18

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Solution for (x-3)(x-3)-x(x-4)=7x+18 equation:


Simplifying
(x + -3)(x + -3) + -1x(x + -4) = 7x + 18

Reorder the terms:
(-3 + x)(x + -3) + -1x(x + -4) = 7x + 18

Reorder the terms:
(-3 + x)(-3 + x) + -1x(x + -4) = 7x + 18

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) + -1x(x + -4) = 7x + 18
((-3 * -3 + x * -3) + x(-3 + x)) + -1x(x + -4) = 7x + 18
((9 + -3x) + x(-3 + x)) + -1x(x + -4) = 7x + 18
(9 + -3x + (-3 * x + x * x)) + -1x(x + -4) = 7x + 18
(9 + -3x + (-3x + x2)) + -1x(x + -4) = 7x + 18

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) + -1x(x + -4) = 7x + 18

Reorder the terms:
9 + -6x + x2 + -1x(-4 + x) = 7x + 18
9 + -6x + x2 + (-4 * -1x + x * -1x) = 7x + 18
9 + -6x + x2 + (4x + -1x2) = 7x + 18

Reorder the terms:
9 + -6x + 4x + x2 + -1x2 = 7x + 18

Combine like terms: -6x + 4x = -2x
9 + -2x + x2 + -1x2 = 7x + 18

Combine like terms: x2 + -1x2 = 0
9 + -2x + 0 = 7x + 18
9 + -2x = 7x + 18

Reorder the terms:
9 + -2x = 18 + 7x

Solving
9 + -2x = 18 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
9 + -2x + -7x = 18 + 7x + -7x

Combine like terms: -2x + -7x = -9x
9 + -9x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -9x = 18 + 0
9 + -9x = 18

Add '-9' to each side of the equation.
9 + -9 + -9x = 18 + -9

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

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

Divide each side by '-9'.
x = -1

Simplifying
x = -1

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