${x}^{2}+{x}^{2}+4x+9x+x=10+1\times 2$

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Examples

Simplify

1\times 2

2

{x}^{2}+{x}^{2}+4x+9x+x=10+2

Simplify

{x}^{2}+{x}^{2}+4x+9x+x

2{x}^{2}+14x

2{x}^{2}+14x=10+2

Simplify

10+2

12

2{x}^{2}+14x=12

Move all terms to one side.

2{x}^{2}+14x-12=0

Use the Quadratic Formula.

In general, given

a{x}^{2}+bx+c=0

, there exists two solutions where:

x=\frac{-b+\sqrt{{b}^{2}-4ac}}{2a},\frac{-b-\sqrt{{b}^{2}-4ac}}{2a}

In this case,

a=2

b=14

and

c=-12

{x}^{}=\frac{-14+\sqrt{{14}^{2}-4\times 2\times -12}}{2\times 2},\frac{-14-\sqrt{{14}^{2}-4\times 2\times -12}}{2\times 2}

Simplify.

x=\frac{-14+2\sqrt{73}}{4},\frac{-14-2\sqrt{73}}{4}

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x=\frac{-14+2\sqrt{73}}{4},\frac{-14-2\sqrt{73}}{4}

Simplify solutions.

x=-\frac{7-\sqrt{73}}{2},-\frac{7+\sqrt{73}}{2}

Done

Decimal Form: 0.772002, -7.772002

x2+x2+4x+9x+x=10+1×2{x}^{2}+{x}^{2}+4x+9x+x=10+1\times 2x2+x2+4x+9x+x=10+1×2