Question

−9(x+6)=−9x+108
does this have no solutions
one solution
or infinite solutions

Answer 1

-9 ( x + 6 ) = -9 + 108

Explanation:

The number before the parenthesis (-9) is multiplied by the numbers in parentheses

Answer 2

`Solution, -9\left(x+6\right)=-9x+108\quad :\quad \mathrm{No\:Solution}`

`Steps:`

`-9\left(x+6\right)=-9x+108`

`\mathrm{Expand\:}-9\left(x+6\right),\\\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac,\\a=-9,\:b=x,\:c=6,\\-9x+\left(-9\right)\cdot \:6,\\\\\mathrm{Apply\:minus-plus\:rules},\\+\left(-a\right)=-a,\\-9x-9\cdot \:6,\\\\\mathrm{Multiply\:the\:numbers:}\:9\cdot \:6=54,\\-9x-54`

`-9x-54=-9x+108`

`\mathrm{Add\:}54\mathrm{\:to\:both\:sides},\\-9x-54+54=-9x+108+54`

`\mathrm{Simplify},\\-9x=-9x+162`

`\mathrm{Add\:}9x\mathrm{\:to\:both\:sides},\\-9x+9x=-9x+162+9x`

`\mathrm{Simplify},\\0=162`

`\mathrm{The\:sides\:are\:not\:equal}`

`\mathrm{The\:Correct\:Answer\:is\:\mathrm{No\:Solution}}`

`\mathrm{Hope\:This\:Helps!!!}`

`-Austint1414`