If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = -0.1x2 + 4x Reorder the terms: 10 = 4x + -0.1x2 Solving 10 = 4x + -0.1x2 Solving for variable 'x'. Reorder the terms: 10 + -4x + 0.1x2 = 4x + -4x + -0.1x2 + 0.1x2 Combine like terms: 4x + -4x = 0 10 + -4x + 0.1x2 = 0 + -0.1x2 + 0.1x2 10 + -4x + 0.1x2 = -0.1x2 + 0.1x2 Combine like terms: -0.1x2 + 0.1x2 = 0.0 10 + -4x + 0.1x2 = 0.0 Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 100 + -40x + x2 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + -40x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + -40x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -40x + x2 = 0 + -100 -40x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -40x + x2 = -100 The x term is -40x. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40x + 400 + x2 = -100 + 400 Reorder the terms: 400 + -40x + x2 = -100 + 400 Combine like terms: -100 + 400 = 300 400 + -40x + x2 = 300 Factor a perfect square on the left side: (x + -20)(x + -20) = 300 Calculate the square root of the right side: 17.320508076 Break this problem into two subproblems by setting (x + -20) equal to 17.320508076 and -17.320508076.Subproblem 1
x + -20 = 17.320508076 Simplifying x + -20 = 17.320508076 Reorder the terms: -20 + x = 17.320508076 Solving -20 + x = 17.320508076 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 17.320508076 + 20 Combine like terms: -20 + 20 = 0 0 + x = 17.320508076 + 20 x = 17.320508076 + 20 Combine like terms: 17.320508076 + 20 = 37.320508076 x = 37.320508076 Simplifying x = 37.320508076Subproblem 2
x + -20 = -17.320508076 Simplifying x + -20 = -17.320508076 Reorder the terms: -20 + x = -17.320508076 Solving -20 + x = -17.320508076 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = -17.320508076 + 20 Combine like terms: -20 + 20 = 0 0 + x = -17.320508076 + 20 x = -17.320508076 + 20 Combine like terms: -17.320508076 + 20 = 2.679491924 x = 2.679491924 Simplifying x = 2.679491924Solution
The solution to the problem is based on the solutions from the subproblems. x = {37.320508076, 2.679491924}
| -77+2x=9x+35 | | -3.19n+5.3(-5.9n-7.9)=-293.428 | | 3x-8=6x-2 | | -3.19n+5.3(-5.9n-7.9)=-293.438 | | 5x+2y=4x+10 | | 4x+44=2(4x+2) | | 210=101-y | | t^2+3t+4=0 | | 10x-10=4x+8 | | -6x-3.3=9x-4.5 | | -4(3x-5)=6x+2(x+30) | | 0.16(y-4)+00.2=0.10y-0.03(10) | | 2/8+4/16=1/x | | 100x=10+39 | | y^7-y^5+2y^4+5y^3-2y^2+10= | | -x-72=99+8x | | 4v-27=v+75 | | 5x-7x+12y= | | 4-27=v+75 | | y=-0.1x^2+4x | | 9s+49=8s+60 | | -7+2.5=19 | | 16/40=c% | | 2q-17=101 | | .8-4(b-1)=.2+3(4-b) | | w+14=113 | | .25=x/12 | | 15+.25x+40=45+45+.35x | | 10=20a+b | | -3x-13=7-5x | | 10+t=7 | | z-11=3.8 |