If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4n2 + 16n = -28 Reorder the terms: 16n + -4n2 = -28 Solving 16n + -4n2 = -28 Solving for variable 'n'. Reorder the terms: 28 + 16n + -4n2 = -28 + 28 Combine like terms: -28 + 28 = 0 28 + 16n + -4n2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(7 + 4n + -1n2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + 4n + -1n2)' equal to zero and attempt to solve: Simplifying 7 + 4n + -1n2 = 0 Solving 7 + 4n + -1n2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -7 + -4n + n2 = 0 Move the constant term to the right: Add '7' to each side of the equation. -7 + -4n + 7 + n2 = 0 + 7 Reorder the terms: -7 + 7 + -4n + n2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4n + n2 = 0 + 7 -4n + n2 = 0 + 7 Combine like terms: 0 + 7 = 7 -4n + n2 = 7 The n term is -4n. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4n + 4 + n2 = 7 + 4 Reorder the terms: 4 + -4n + n2 = 7 + 4 Combine like terms: 7 + 4 = 11 4 + -4n + n2 = 11 Factor a perfect square on the left side: (n + -2)(n + -2) = 11 Calculate the square root of the right side: 3.31662479 Break this problem into two subproblems by setting (n + -2) equal to 3.31662479 and -3.31662479.Subproblem 1
n + -2 = 3.31662479 Simplifying n + -2 = 3.31662479 Reorder the terms: -2 + n = 3.31662479 Solving -2 + n = 3.31662479 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + n = 3.31662479 + 2 Combine like terms: -2 + 2 = 0 0 + n = 3.31662479 + 2 n = 3.31662479 + 2 Combine like terms: 3.31662479 + 2 = 5.31662479 n = 5.31662479 Simplifying n = 5.31662479Subproblem 2
n + -2 = -3.31662479 Simplifying n + -2 = -3.31662479 Reorder the terms: -2 + n = -3.31662479 Solving -2 + n = -3.31662479 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + n = -3.31662479 + 2 Combine like terms: -2 + 2 = 0 0 + n = -3.31662479 + 2 n = -3.31662479 + 2 Combine like terms: -3.31662479 + 2 = -1.31662479 n = -1.31662479 Simplifying n = -1.31662479Solution
The solution to the problem is based on the solutions from the subproblems. n = {5.31662479, -1.31662479}Solution
n = {5.31662479, -1.31662479}
| f(x)=4x^3-72x^2-320x | | 4x+28=132 | | f(x)=2x^3-10x^2+8x | | y=(7x+18) | | 6x(-3)=9 | | y-2.1=5.87 | | 2x+131=12x-13+14x | | 80-3x=60-1x | | 6-x-{-3}=9 | | 6-x-{3}=9 | | 81+x=38 | | f(x)=4x^3-28x^2+24x | | 6x-(-3)=9 | | 13x+7=9x-25 | | 6-x{-3}=9 | | 4-2(1+2x)=-6 | | 6-{-3}=9 | | x+3.5=14.9 | | 7x+8y=-61 | | f(x)=-2x^3-12x^2+110x | | 72=9t | | 25x^2-49x=0 | | x^2+y^2=8x+4y-20 | | 3(-15)+5= | | 4x^2+144x+4=0 | | 16x^2+47x-4=0 | | 4-2(1+2x)=100 | | [3u]=15 | | 10-5(7x)=35 | | n+2.5+1.5=35 | | 26+3y=47 | | f(x)=3x^3+9x^2-210x |