324=(x+24+9)*(x+9)-(x+24)*(x)

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Solution for 324=(x+24+9)*(x+9)-(x+24)*(x) equation: 


Simplifying
324 = (x + 24 + 9)(x + 9) + -1(x + 24)(x)

Reorder the terms:
324 = (24 + 9 + x)(x + 9) + -1(x + 24)(x)

Combine like terms: 24 + 9 = 33
324 = (33 + x)(x + 9) + -1(x + 24)(x)

Reorder the terms:
324 = (33 + x)(9 + x) + -1(x + 24)(x)

Multiply (33 + x) * (9 + x)
324 = (33(9 + x) + x(9 + x)) + -1(x + 24)(x)
324 = ((9 * 33 + x * 33) + x(9 + x)) + -1(x + 24)(x)
324 = ((297 + 33x) + x(9 + x)) + -1(x + 24)(x)
324 = (297 + 33x + (9 * x + x * x)) + -1(x + 24)(x)
324 = (297 + 33x + (9x + x2)) + -1(x + 24)(x)

Combine like terms: 33x + 9x = 42x
324 = (297 + 42x + x2) + -1(x + 24)(x)

Reorder the terms:
324 = 297 + 42x + x2 + -1(24 + x)(x)

Reorder the terms for easier multiplication:
324 = 297 + 42x + x2 + -1x(24 + x)
324 = 297 + 42x + x2 + (24 * -1x + x * -1x)
324 = 297 + 42x + x2 + (-24x + -1x2)

Reorder the terms:
324 = 297 + 42x + -24x + x2 + -1x2

Combine like terms: 42x + -24x = 18x
324 = 297 + 18x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
324 = 297 + 18x + 0
324 = 297 + 18x

Solving
324 = 297 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
324 + -18x = 297 + 18x + -18x

Combine like terms: 18x + -18x = 0
324 + -18x = 297 + 0
324 + -18x = 297

Add '-324' to each side of the equation.
324 + -324 + -18x = 297 + -324

Combine like terms: 324 + -324 = 0
0 + -18x = 297 + -324
-18x = 297 + -324

Combine like terms: 297 + -324 = -27
-18x = -27

Divide each side by '-18'.
x = 1.5

Simplifying
x = 1.5

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