If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -1.5x2 + 1.5x + 3 = 0 Reorder the terms: 3 + 1.5x + -1.5x2 = 0 Solving 3 + 1.5x + -1.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1.5 the coefficient of the squared term: Divide each side by '-1.5'. -2 + -1x + x2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + -1x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + -1x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x + x2 = 0 + 2 -1x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x + x2 = 2 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 = 2 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 2 + 0.25 Combine like terms: 2 + 0.25 = 2.25 0.25 + -1x + x2 = 2.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 2.25 Calculate the square root of the right side: 1.5 Break this problem into two subproblems by setting (x + -0.5) equal to 1.5 and -1.5.Subproblem 1
x + -0.5 = 1.5 Simplifying x + -0.5 = 1.5 Reorder the terms: -0.5 + x = 1.5 Solving -0.5 + x = 1.5 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 = 1.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 1.5 + 0.5 x = 1.5 + 0.5 Combine like terms: 1.5 + 0.5 = 2 x = 2 Simplifying x = 2Subproblem 2
x + -0.5 = -1.5 Simplifying x + -0.5 = -1.5 Reorder the terms: -0.5 + x = -1.5 Solving -0.5 + x = -1.5 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 = -1.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -1.5 + 0.5 x = -1.5 + 0.5 Combine like terms: -1.5 + 0.5 = -1 x = -1 Simplifying x = -1Solution
The solution to the problem is based on the solutions from the subproblems. x = {2, -1}
| 35a+5n+2(n-1)= | | 10=3+y | | 24d=6 | | -4-(1+4k)=-37-8k | | 4x^2+4y^2-4x+8y+1=0 | | 12x^2+3y^2+12x+4y-3-12=0 | | x^2+54x+486=0 | | 34=-5-6r+3t | | x=-4+24-1*(-5) | | 2x^2+2y^2+12x-2y-3=0 | | 8+6x=10+18x+2+1 | | x=-4+24-1*5 | | x=24-1+7*6 | | n+(n-13)=75 | | 7rs+2rs+3rs= | | 5(-3a-4)+3(5a+7)=1 | | y=-2.18*5.36+944.68 | | x=-4+24-1-5 | | y=-2.18*5.37+944.68 | | y=-2.18*5.32+944.68 | | x^2-15x+49=0 | | y=-2.18*5.34+944.68 | | 3(q-5)=2(9+5) | | y=-2.18*5.35+944.68 | | (5n-7)+n=113 | | 16x^2+16y^2+64x-8y+60=0 | | y=-2.18*5.3+944.68 | | 3y+2=-2y+7 | | y=-2.18*5.4+944.68 | | y=-2.18*5.2+944.68 | | 7p+7=2+2p | | y=-2.18*4.5+944.68 |