If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 10x + -2 = 1 Reorder the terms: -2 + 10x + 4x2 = 1 Solving -2 + 10x + 4x2 = 1 Solving for variable 'x'. Reorder the terms: -2 + -1 + 10x + 4x2 = 1 + -1 Combine like terms: -2 + -1 = -3 -3 + 10x + 4x2 = 1 + -1 Combine like terms: 1 + -1 = 0 -3 + 10x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.75 + 2.5x + x2 = 0 Move the constant term to the right: Add '0.75' to each side of the equation. -0.75 + 2.5x + 0.75 + x2 = 0 + 0.75 Reorder the terms: -0.75 + 0.75 + 2.5x + x2 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 2.5x + x2 = 0 + 0.75 2.5x + x2 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 2.5x + x2 = 0.75 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 0.75 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 0.75 + 1.5625 Combine like terms: 0.75 + 1.5625 = 2.3125 1.5625 + 2.5x + x2 = 2.3125 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 2.3125 Calculate the square root of the right side: 1.520690633 Break this problem into two subproblems by setting (x + 1.25) equal to 1.520690633 and -1.520690633.Subproblem 1
x + 1.25 = 1.520690633 Simplifying x + 1.25 = 1.520690633 Reorder the terms: 1.25 + x = 1.520690633 Solving 1.25 + x = 1.520690633 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 1.520690633 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 1.520690633 + -1.25 x = 1.520690633 + -1.25 Combine like terms: 1.520690633 + -1.25 = 0.270690633 x = 0.270690633 Simplifying x = 0.270690633Subproblem 2
x + 1.25 = -1.520690633 Simplifying x + 1.25 = -1.520690633 Reorder the terms: 1.25 + x = -1.520690633 Solving 1.25 + x = -1.520690633 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -1.520690633 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -1.520690633 + -1.25 x = -1.520690633 + -1.25 Combine like terms: -1.520690633 + -1.25 = -2.770690633 x = -2.770690633 Simplifying x = -2.770690633Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.270690633, -2.770690633}
| -3y=-9+2x | | -80+x+12x=115 | | 18-2(2w+1)=4w-1(4+w) | | 12x-9x-24=54 | | 2[t-3]-2=7 | | 3X^2+6X=90 | | -x+3+y=0 | | x-1=5x-13 | | 16y-8y-4=28 | | x(0.05)+x=20 | | -4a-3a=-10-3-4a+4 | | 2x+7x-178=47 | | 5-6y= | | 0=-y+6x+2 | | -15+12x-11x=8 | | 3x+35=86 | | 1008=(x+8)*(2x-4) | | 0.61+0.15t+3.75t-0.83= | | -75+4x+3x=30 | | 2x+7-4x=13-18x+16x-6 | | -8(x+6)=-36 | | 454=3-(4x) | | 3x-116+7x=74 | | 8-t=(-25) | | 454=3-4x | | -7x+4-12x=-34 | | (x-2)-16+14=84 | | x(0.05)+x=17.85 | | 10-h-h=-13 | | 10x-32=4x+34 | | 15x-24=90 | | -8-2y=-3x |