Question

Escreva estas equações na forma reduzida e resolva-as
A).12–4x(1–x)=x²–2x–7
B).x(x–2)=2(x+6)
C).(4x–3)(4x+3)–8x(x–2)=–17
D).(3–2x)²–4(6–x)+3x=–9

Answer 1

A)

$12-4x(1-x)={x}^{2}-2x-7$

$12-4x+4{x}^{2}={x}^{2}-2x-7$

$4{x}^{2}-{x}^{2}-4x+2x+12+7=0$

$\boxed{\boxed{3{x}^{2}-2x+19=0}}$

B)

$x(x-2)=2(x+6)$

${x}^{2}-2x=2x+12$

${x}^{2}-2x-2x-12=0$

$\boxed{\boxed{{x}^{2}-4x-12=0}}$

C)

$(4x-3)(4x+3)-8x(x-2)=-17$

$16{x}^{2}-9-8{x}^{2}+16x+17=0$

$\boxed{\boxed{8{x}^{2}+16x+8=0}}$

D)

${(3-2x)}^{2}-4(6-x)+3x=-9$

$9-11x+4{x}^{2}-24+4x+3x+9=0$

$4{x}^{2}-4x-6=0\div(2)$

$\boxed{\boxed{2{x}^{2}-2x-3=0}}$