X^2-29=6(x-3)+5(x-7)

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Solution for X^2-29=6(x-3)+5(x-7) equation:


Simplifying
X2 + -29 = 6(x + -3) + 5(x + -7)

Reorder the terms:
-29 + X2 = 6(x + -3) + 5(x + -7)

Reorder the terms:
-29 + X2 = 6(-3 + x) + 5(x + -7)
-29 + X2 = (-3 * 6 + x * 6) + 5(x + -7)
-29 + X2 = (-18 + 6x) + 5(x + -7)

Reorder the terms:
-29 + X2 = -18 + 6x + 5(-7 + x)
-29 + X2 = -18 + 6x + (-7 * 5 + x * 5)
-29 + X2 = -18 + 6x + (-35 + 5x)

Reorder the terms:
-29 + X2 = -18 + -35 + 6x + 5x

Combine like terms: -18 + -35 = -53
-29 + X2 = -53 + 6x + 5x

Combine like terms: 6x + 5x = 11x
-29 + X2 = -53 + 11x

Solving
-29 + X2 = -53 + 11x

Solving for variable 'X'.

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

Add '29' to each side of the equation.
-29 + 29 + X2 = -53 + 29 + 11x

Combine like terms: -29 + 29 = 0
0 + X2 = -53 + 29 + 11x
X2 = -53 + 29 + 11x

Combine like terms: -53 + 29 = -24
X2 = -24 + 11x

Simplifying
X2 = -24 + 11x

Reorder the terms:
24 + X2 + -11x = -24 + 11x + 24 + -11x

Reorder the terms:
24 + X2 + -11x = -24 + 24 + 11x + -11x

Combine like terms: -24 + 24 = 0
24 + X2 + -11x = 0 + 11x + -11x
24 + X2 + -11x = 11x + -11x

Combine like terms: 11x + -11x = 0
24 + X2 + -11x = 0

The solution to this equation could not be determined.

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