If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 3x + -15 = 9 Reorder the terms: -15 + 3x + 2x2 = 9 Solving -15 + 3x + 2x2 = 9 Solving for variable 'x'. Reorder the terms: -15 + -9 + 3x + 2x2 = 9 + -9 Combine like terms: -15 + -9 = -24 -24 + 3x + 2x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -24 + 3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -12 + 1.5x + x2 = 0 Move the constant term to the right: Add '12' to each side of the equation. -12 + 1.5x + 12 + x2 = 0 + 12 Reorder the terms: -12 + 12 + 1.5x + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1.5x + x2 = 0 + 12 1.5x + x2 = 0 + 12 Combine like terms: 0 + 12 = 12 1.5x + x2 = 12 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 12 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 12 + 0.5625 Combine like terms: 12 + 0.5625 = 12.5625 0.5625 + 1.5x + x2 = 12.5625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 12.5625 Calculate the square root of the right side: 3.54436172 Break this problem into two subproblems by setting (x + 0.75) equal to 3.54436172 and -3.54436172.Subproblem 1
x + 0.75 = 3.54436172 Simplifying x + 0.75 = 3.54436172 Reorder the terms: 0.75 + x = 3.54436172 Solving 0.75 + x = 3.54436172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 3.54436172 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 3.54436172 + -0.75 x = 3.54436172 + -0.75 Combine like terms: 3.54436172 + -0.75 = 2.79436172 x = 2.79436172 Simplifying x = 2.79436172Subproblem 2
x + 0.75 = -3.54436172 Simplifying x + 0.75 = -3.54436172 Reorder the terms: 0.75 + x = -3.54436172 Solving 0.75 + x = -3.54436172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -3.54436172 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -3.54436172 + -0.75 x = -3.54436172 + -0.75 Combine like terms: -3.54436172 + -0.75 = -4.29436172 x = -4.29436172 Simplifying x = -4.29436172Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.79436172, -4.29436172}
| 5w^2=w+4 | | 8y+18= | | 5n^2-44n+63=0 | | 4(2-7x)=176 | | 45=1x-6 | | -9x+4y=-29 | | 8(x+30)=272 | | 6R/3-4=50 | | 3(4v-5)+3(v-4)= | | 7x+1=6x-1 | | 7/3z-8/5(5-z)=1 | | 10y+20=5y-15 | | n^2-10n=0 | | 1.35x+3.25(3)=16.50 | | f(x)=0.02x^2+x+5 | | 7x+8=-12+5x | | -2-9n=-56 | | -3x+43=-2(-5-4x) | | 4x^2=92 | | f(x)=-0.02x^2+x+5 | | -16x^2+70x+4=-5 | | -1-3x=7x+39 | | 10y+20=5-15 | | c=2*3.14*1 | | y=x^3-x+1 | | ×/41.6=-2.34134615385 | | (2x(2)-3+4x(3))+(-7-2x(3)-3x(2))=-6x(3)-5x(2)+4 | | -10+x=5x-26 | | y=x+43 | | N/16.4=-1.55487804878 | | -9+5x=6x-1 | | (2x(2)-3+4x(3))+(-7-2x(3)-3x(2))= |