Question

(x+2)(x+3)-(x-1)(x+4)=0

Answer 1

:⟼  $(x + 2)(x + 3) - (x - 1)(x + 4) = 0$

:⟼  $x(x + 3) + 2(x + 3) - x(x + 4) + 1(x + 4) = 0$

:⟼  ${x}^{2} + 3x + 2x + 6 - {x}^{2} - 4x + x + 4 = 0$

Collect like terms.

:⟼  $( {x}^{2} - {x}^{2} ) + (3x + 2x - 4x + x) + (6 + 4) = 0$

:⟼  $2x + 1 0 = 0$

:⟼  $2x = - 10$

:⟼  $x = \frac{ - 10}{2}$

:⟼  $\boxed{ x=-5 }$

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