If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + -225x = 37.5 Reorder the terms: -225x + 6x2 = 37.5 Solving -225x + 6x2 = 37.5 Solving for variable 'x'. Reorder the terms: -37.5 + -225x + 6x2 = 37.5 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 -37.5 + -225x + 6x2 = 0.0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -6.25 + -37.5x + x2 = 0.0 Move the constant term to the right: Add '6.25' to each side of the equation. -6.25 + -37.5x + 6.25 + x2 = 0.0 + 6.25 Reorder the terms: -6.25 + 6.25 + -37.5x + x2 = 0.0 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + -37.5x + x2 = 0.0 + 6.25 -37.5x + x2 = 0.0 + 6.25 Combine like terms: 0.0 + 6.25 = 6.25 -37.5x + x2 = 6.25 The x term is -37.5x. Take half its coefficient (-18.75). Square it (351.5625) and add it to both sides. Add '351.5625' to each side of the equation. -37.5x + 351.5625 + x2 = 6.25 + 351.5625 Reorder the terms: 351.5625 + -37.5x + x2 = 6.25 + 351.5625 Combine like terms: 6.25 + 351.5625 = 357.8125 351.5625 + -37.5x + x2 = 357.8125 Factor a perfect square on the left side: (x + -18.75)(x + -18.75) = 357.8125 Calculate the square root of the right side: 18.915932438 Break this problem into two subproblems by setting (x + -18.75) equal to 18.915932438 and -18.915932438.Subproblem 1
x + -18.75 = 18.915932438 Simplifying x + -18.75 = 18.915932438 Reorder the terms: -18.75 + x = 18.915932438 Solving -18.75 + x = 18.915932438 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18.75' to each side of the equation. -18.75 + 18.75 + x = 18.915932438 + 18.75 Combine like terms: -18.75 + 18.75 = 0.00 0.00 + x = 18.915932438 + 18.75 x = 18.915932438 + 18.75 Combine like terms: 18.915932438 + 18.75 = 37.665932438 x = 37.665932438 Simplifying x = 37.665932438Subproblem 2
x + -18.75 = -18.915932438 Simplifying x + -18.75 = -18.915932438 Reorder the terms: -18.75 + x = -18.915932438 Solving -18.75 + x = -18.915932438 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18.75' to each side of the equation. -18.75 + 18.75 + x = -18.915932438 + 18.75 Combine like terms: -18.75 + 18.75 = 0.00 0.00 + x = -18.915932438 + 18.75 x = -18.915932438 + 18.75 Combine like terms: -18.915932438 + 18.75 = -0.165932438 x = -0.165932438 Simplifying x = -0.165932438Solution
The solution to the problem is based on the solutions from the subproblems. x = {37.665932438, -0.165932438}
| 4*(x-97)=68 | | 5[-y+1]=-8 | | -3x^2-9x+15=0 | | y+2x-10=0 | | 3(x-4)+5=25 | | 4(x-2)+8(x-4)=8 | | 5p(p+2)=0 | | x-2y+10=0 | | 158x+5947=6 | | xy=13599273702913 | | 5(7-x)=-5 | | (2k-1)x^2+2kx-k=0 | | 2ln(2x-1)-10=0 | | 9-4x=9+3x | | 2f+1=3f-1.5 | | 2b+7=5b-2 | | 35y+1=56 | | 7[25-m]-2m=2[3m-25] | | y=1.5x+7.7 | | -5u-20=3(u-4) | | -2(u+3)=6u+10 | | 0=1829x-3 | | 8y+22=-2(y+9) | | 6x-2=3x+5 | | 3(t+4)=33 | | -7(4+5x)=7 | | 1-2356x=22 | | 3(a-2)=9 | | 16x^2-9=10 | | 7(a-2)=9 | | 2x^3-9x^2+14x-10=0 | | 6x+20=14x-17 |