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4x ^ 2 + 8x = 5x ^ 2 + x please solve the qiadratic equation through factoring​

Sagot :

Given:

4x²+8x=5x²+x

4x²+8x-5x²-x=0

-x²+7x=0

Roots:

-x²+7x=0

(x+0)(x-7)=0

x+0=0 x-7=0

x=0 x= 7

[tex]\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W} \purple{E} \orange{R᭄ }}}}[/tex]

[tex]\color{hotpink}4x²\:+\:8x\:=\:5x²\:+\:x[/tex]

[tex]\color{hotpink}4x²\:+\:8x\:-\:5x²\:-\:x\:=\:0[/tex]

[tex]\color{hotpink}-\:x²\:+\:7x\:=\:0[/tex]

[tex]\color{hotpink}(x\:+\:0)[/tex][tex]\color{hotpink}(x\:-\:7)\:=\:0[/tex]

[tex]\color{hotpink}x\:+\:0\:=\:0\:x\:-\:7\:=\:0[/tex]

Answer:

[tex]\color{violet}×\:=\:0[/tex]

[tex]\color{violet}x\:=\:7[/tex]

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