Respuesta :

7x(x + 1.8) = 0...distribute thru the parenthesis
7x^2 + 12.6x = 0
x(7x + 12.6) = 0

x = 0

7x + 12.6 = 0
7x = -12.6
x = -12.6/7
x = -1.8

so x = 0 or x = -1.8

The solutions of the equation [tex]7x\left( {x + 1.8} \right)[/tex] are [tex]\boxed{x = 0}[/tex] and [tex]\boxed{x = 1.8}.[/tex]

Further explanation:

Explanation:

The equation can be expressed as follows,

[tex]\begin{aligned}P\left( x \right)& = 7x\left( {x + 1.8} \right)\\&= 7{x^2} + 12.6\\\end{aligned}[/tex]

Degree is defined as the highest power of the polynomial function.

The given quadratic equation has 2 solutions.

Solve the equation [tex]7x\left( {x + 1.8} \right)[/tex] to obtain the value of x.

[tex]\begin{aligned}7x\left( {x + 1.8} \right) &= 0\\7x &= 0{\text{  or  }}x + 1.8 &= 0\\x &= 0{\text{  or   }x &=- 1.8 \\\end{aligned}[/tex]

The solutions of the equation [tex]7x\left( {x + 1.8} \right)[/tex] are [tex]\boxed{x = 0}[/tex] and [tex]\boxed{x = 1.8}.[/tex]

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomial

Keywords: power function, 7x(x+1.8), degree, degree of the polynomial, roots, linear equation, quadratic equation, zeros, function, polynomial, solution, cubic function, degree of the function.