(x-8)(x-3)=x^2-11x+m

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Solution for (x-8)(x-3)=x^2-11x+m equation:


Simplifying
(x + -8)(x + -3) = x2 + -11x + m

Reorder the terms:
(-8 + x)(x + -3) = x2 + -11x + m

Reorder the terms:
(-8 + x)(-3 + x) = x2 + -11x + m

Multiply (-8 + x) * (-3 + x)
(-8(-3 + x) + x(-3 + x)) = x2 + -11x + m
((-3 * -8 + x * -8) + x(-3 + x)) = x2 + -11x + m
((24 + -8x) + x(-3 + x)) = x2 + -11x + m
(24 + -8x + (-3 * x + x * x)) = x2 + -11x + m
(24 + -8x + (-3x + x2)) = x2 + -11x + m

Combine like terms: -8x + -3x = -11x
(24 + -11x + x2) = x2 + -11x + m

Reorder the terms:
24 + -11x + x2 = m + -11x + x2

Add '11x' to each side of the equation.
24 + -11x + 11x + x2 = m + -11x + 11x + x2

Combine like terms: -11x + 11x = 0
24 + 0 + x2 = m + -11x + 11x + x2
24 + x2 = m + -11x + 11x + x2

Combine like terms: -11x + 11x = 0
24 + x2 = m + 0 + x2
24 + x2 = m + x2

Add '-1x2' to each side of the equation.
24 + x2 + -1x2 = m + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 + 0 = m + x2 + -1x2
24 = m + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 = m + 0
24 = m

Solving
24 = m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
24 + -1m = m + -1m

Combine like terms: m + -1m = 0
24 + -1m = 0

Add '-24' to each side of the equation.
24 + -24 + -1m = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1m = 0 + -24
-1m = 0 + -24

Combine like terms: 0 + -24 = -24
-1m = -24

Divide each side by '-1'.
m = 24

Simplifying
m = 24

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