If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5x2 + -0.5x + -78 = 0 Reorder the terms: -78 + -0.5x + 0.5x2 = 0 Solving -78 + -0.5x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. -156 + -1x + x2 = 0 Move the constant term to the right: Add '156' to each side of the equation. -156 + -1x + 156 + x2 = 0 + 156 Reorder the terms: -156 + 156 + -1x + x2 = 0 + 156 Combine like terms: -156 + 156 = 0 0 + -1x + x2 = 0 + 156 -1x + x2 = 0 + 156 Combine like terms: 0 + 156 = 156 -1x + x2 = 156 The x term is -1x. 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. -1x + 0.25 + x2 = 156 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 156 + 0.25 Combine like terms: 156 + 0.25 = 156.25 0.25 + -1x + x2 = 156.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 156.25 Calculate the square root of the right side: 12.5 Break this problem into two subproblems by setting (x + -0.5) equal to 12.5 and -12.5.Subproblem 1
x + -0.5 = 12.5 Simplifying x + -0.5 = 12.5 Reorder the terms: -0.5 + x = 12.5 Solving -0.5 + x = 12.5 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 = 12.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 12.5 + 0.5 x = 12.5 + 0.5 Combine like terms: 12.5 + 0.5 = 13 x = 13 Simplifying x = 13Subproblem 2
x + -0.5 = -12.5 Simplifying x + -0.5 = -12.5 Reorder the terms: -0.5 + x = -12.5 Solving -0.5 + x = -12.5 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 = -12.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -12.5 + 0.5 x = -12.5 + 0.5 Combine like terms: -12.5 + 0.5 = -12 x = -12 Simplifying x = -12Solution
The solution to the problem is based on the solutions from the subproblems. x = {13, -12}
| 4xy-2yx= | | 7(2-6x)=-196 | | c=9c-72 | | 5(6x-6)=210 | | X^2=10x+56 | | p=2(8)+2(5) | | 6x*6x-43x-40=0 | | (v^2+10v+24)(2v-10)=0 | | 95x-14=20x-10x-4 | | 5(9x+5)+3x=5 | | 12.6=3.2x | | -14-95x=20x-10x-4 | | I=(7500)(.035)(6) | | 2x+4(-1)=2 | | 34a-4(5a-2)=36 | | 12x-7=8x+27 | | 2(1)+4y=2 | | 4z-3G=1 | | 16x-3y=-8 | | 4(5-c)=1 | | 252=45(r) | | N^2+11+24=0 | | 73-4x=10x+7 | | 12.6=3.6x | | y=2(-4)+4 | | 5(2g-2)+g=11 | | 5x-4(1)=6 | | 4x+33=14x-7 | | 9+9=4(y-9) | | 7c+6j=5p | | 5(4)-4y=6 | | 7x+7(-2-17)=-77 |