If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + -80x + 300 = 0 Reorder the terms: 300 + -80x + 3x2 = 0 Solving 300 + -80x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 100 + -26.66666667x + x2 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + -26.66666667x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + -26.66666667x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -26.66666667x + x2 = 0 + -100 -26.66666667x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -26.66666667x + x2 = -100 The x term is -26.66666667x. Take half its coefficient (-13.33333334). Square it (177.7777780) and add it to both sides. Add '177.7777780' to each side of the equation. -26.66666667x + 177.7777780 + x2 = -100 + 177.7777780 Reorder the terms: 177.7777780 + -26.66666667x + x2 = -100 + 177.7777780 Combine like terms: -100 + 177.7777780 = 77.777778 177.7777780 + -26.66666667x + x2 = 77.777778 Factor a perfect square on the left side: (x + -13.33333334)(x + -13.33333334) = 77.777778 Calculate the square root of the right side: 8.819171049 Break this problem into two subproblems by setting (x + -13.33333334) equal to 8.819171049 and -8.819171049.Subproblem 1
x + -13.33333334 = 8.819171049 Simplifying x + -13.33333334 = 8.819171049 Reorder the terms: -13.33333334 + x = 8.819171049 Solving -13.33333334 + x = 8.819171049 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13.33333334' to each side of the equation. -13.33333334 + 13.33333334 + x = 8.819171049 + 13.33333334 Combine like terms: -13.33333334 + 13.33333334 = 0.00000000 0.00000000 + x = 8.819171049 + 13.33333334 x = 8.819171049 + 13.33333334 Combine like terms: 8.819171049 + 13.33333334 = 22.152504389 x = 22.152504389 Simplifying x = 22.152504389Subproblem 2
x + -13.33333334 = -8.819171049 Simplifying x + -13.33333334 = -8.819171049 Reorder the terms: -13.33333334 + x = -8.819171049 Solving -13.33333334 + x = -8.819171049 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13.33333334' to each side of the equation. -13.33333334 + 13.33333334 + x = -8.819171049 + 13.33333334 Combine like terms: -13.33333334 + 13.33333334 = 0.00000000 0.00000000 + x = -8.819171049 + 13.33333334 x = -8.819171049 + 13.33333334 Combine like terms: -8.819171049 + 13.33333334 = 4.514162291 x = 4.514162291 Simplifying x = 4.514162291Solution
The solution to the problem is based on the solutions from the subproblems. x = {22.152504389, 4.514162291}
| 6v+3(5v-4)=12(2v+5) | | x+0.05x=1500 | | 10t^3+10= | | 23y+6=23(y+9) | | t^3+10= | | 8m-(5-3m)=7m+10 | | 2+-7x= | | 5z+3(-32-8)=12+18z | | 2(10-6h)=h-8h | | 2(9y-1)=99-7(3-4y) | | 21x^2+11x-106=0 | | 21x^2+11x-86=0 | | p+(p+5)=47 | | 0.50x+0.50(10-x)=0.10(-49) | | 3m-10=2(4m-4) | | f(x)=3x^2-5x+12 | | -1/3(-1+6t)=19/3-3t | | 14/3-34r/3=-4/3(10r-2) | | 25/3=28a/3-4(4a/3-1/3) | | 6q/5+2(-1+2q/5)=0+10q | | -4*(x+8)+14=7*(x-2)+29 | | 8(0)-3y=72 | | -p/3+2/3(-1+9p)=2-3/3+2p/3 | | 4x1/8 | | 5x+27=-9*(x-10)+7 | | 8x-3(0)=30 | | x=8/3y | | 5h=12.50 | | 12x+2*(x-3)=7*(x-5)+1 | | -2(x+2)=-2x-3-1 | | 6x-2x^2-24x^4= | | (e^7x)=11 |