If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 3x = 520 Reorder the terms: 3x + 4x2 = 520 Solving 3x + 4x2 = 520 Solving for variable 'x'. Reorder the terms: -520 + 3x + 4x2 = 520 + -520 Combine like terms: 520 + -520 = 0 -520 + 3x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -130 + 0.75x + x2 = 0 Move the constant term to the right: Add '130' to each side of the equation. -130 + 0.75x + 130 + x2 = 0 + 130 Reorder the terms: -130 + 130 + 0.75x + x2 = 0 + 130 Combine like terms: -130 + 130 = 0 0 + 0.75x + x2 = 0 + 130 0.75x + x2 = 0 + 130 Combine like terms: 0 + 130 = 130 0.75x + x2 = 130 The x term is 0.75x. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75x + 0.140625 + x2 = 130 + 0.140625 Reorder the terms: 0.140625 + 0.75x + x2 = 130 + 0.140625 Combine like terms: 130 + 0.140625 = 130.140625 0.140625 + 0.75x + x2 = 130.140625 Factor a perfect square on the left side: (x + 0.375)(x + 0.375) = 130.140625 Calculate the square root of the right side: 11.407919398 Break this problem into two subproblems by setting (x + 0.375) equal to 11.407919398 and -11.407919398.Subproblem 1
x + 0.375 = 11.407919398 Simplifying x + 0.375 = 11.407919398 Reorder the terms: 0.375 + x = 11.407919398 Solving 0.375 + x = 11.407919398 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375' to each side of the equation. 0.375 + -0.375 + x = 11.407919398 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + x = 11.407919398 + -0.375 x = 11.407919398 + -0.375 Combine like terms: 11.407919398 + -0.375 = 11.032919398 x = 11.032919398 Simplifying x = 11.032919398Subproblem 2
x + 0.375 = -11.407919398 Simplifying x + 0.375 = -11.407919398 Reorder the terms: 0.375 + x = -11.407919398 Solving 0.375 + x = -11.407919398 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.375' to each side of the equation. 0.375 + -0.375 + x = -11.407919398 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + x = -11.407919398 + -0.375 x = -11.407919398 + -0.375 Combine like terms: -11.407919398 + -0.375 = -11.782919398 x = -11.782919398 Simplifying x = -11.782919398Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.032919398, -11.782919398}
| -3(d-18)=-3 | | x-8=-5+3 | | 6-r=-7 | | 4n/5-6/5=-2 | | x(14+x)=15*2 | | 3x^2+4x=270 | | 3x+2(4x-4)=14 | | 2(-9-6q)= | | 2(f-7)-8=10 | | 15y-7y=32 | | (5y+4)(7+y)=0 | | 3w-18w=60 | | -2-1x=3x+6 | | 2/1.25 | | x+(3x+12)+30=180 | | 2sin^2x+4sinx+2=0 | | 9n-14=13 | | P/3=5/6 | | 6(12-18c)= | | 0.4y=-64 | | 19+7m=-5(1-2m) | | 6/n=5/6 | | 2=x+1+61.5 | | x*x-2x+4=0 | | 2x+11-5x=13 | | 11=3(b+20)-4 | | x-19=-3x+9 | | x-19=-3x+0 | | 2(4z-3)-3(5z+2)=4(10-z+1) | | 2y+10.8=1.2 | | x+(3x+4)+47=180 | | -2(y-4)=-8 |