If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + x + -114 = 78 Reorder the terms: -114 + x + 3x2 = 78 Solving -114 + x + 3x2 = 78 Solving for variable 'x'. Reorder the terms: -114 + -78 + x + 3x2 = 78 + -78 Combine like terms: -114 + -78 = -192 -192 + x + 3x2 = 78 + -78 Combine like terms: 78 + -78 = 0 -192 + x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -64 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '64' to each side of the equation. -64 + 0.3333333333x + 64 + x2 = 0 + 64 Reorder the terms: -64 + 64 + 0.3333333333x + x2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 0.3333333333x + x2 = 0 + 64 0.3333333333x + x2 = 0 + 64 Combine like terms: 0 + 64 = 64 0.3333333333x + x2 = 64 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.3333333333x + 0.25 + x2 = 64 + 0.25 Reorder the terms: 0.25 + 0.3333333333x + x2 = 64 + 0.25 Combine like terms: 64 + 0.25 = 64.25 0.25 + 0.3333333333x + x2 = 64.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 64.25 Calculate the square root of the right side: 8.015609771 Break this problem into two subproblems by setting (x + 0.5) equal to 8.015609771 and -8.015609771.Subproblem 1
x + 0.5 = 8.015609771 Simplifying x + 0.5 = 8.015609771 Reorder the terms: 0.5 + x = 8.015609771 Solving 0.5 + x = 8.015609771 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 8.015609771 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 8.015609771 + -0.5 x = 8.015609771 + -0.5 Combine like terms: 8.015609771 + -0.5 = 7.515609771 x = 7.515609771 Simplifying x = 7.515609771Subproblem 2
x + 0.5 = -8.015609771 Simplifying x + 0.5 = -8.015609771 Reorder the terms: 0.5 + x = -8.015609771 Solving 0.5 + x = -8.015609771 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -8.015609771 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -8.015609771 + -0.5 x = -8.015609771 + -0.5 Combine like terms: -8.015609771 + -0.5 = -8.515609771 x = -8.515609771 Simplifying x = -8.515609771Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.515609771, -8.515609771}
| -1=x-10/25 | | 10y-23=29-3y | | 3(4x+8)=2(6x+10) | | -7-3(2x-2)=-36-x | | 0.4x-4.4=-0.8 | | x*tanh(x)=1 | | 6w+2=36 | | X+(x+3)=50 | | -6(3n+7)=-18-6n | | xtanh(x)=1 | | 13-4h=8-3h | | 0.3*(-2+2.75y)+y=6.7 | | 8e-3e+7=87 | | 7(3f-2g)+13(g-f)= | | 132=9b | | 39-3n=-6(1+8n) | | 0.4x-1.1y=-0.8 | | 0.66(4m-7)=6 | | 20x-4=4(5x+9) | | 0.3x+y=6.7 | | X^2-63x+140=0 | | 2+1.50x= | | -15+3m=-8(m+6) | | 972+x=748 | | 40-3r=-3(8+8r)+5r | | -7w+4(w+3)=33 | | x-183=-79 | | 70+x-60=30 | | 2x+5=3x+22 | | 8(1+7m)=-160 | | 11+4b=b-13 | | 4(x+3)-16=20 |