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 = -3 Reorder the terms: 10x + 4x2 = -3 Solving 10x + 4x2 = -3 Solving for variable 'x'. Reorder the terms: 3 + 10x + 4x2 = -3 + 3 Combine like terms: -3 + 3 = 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 = 0.8125 1.5625 + 2.5x + x2 = 0.8125 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 0.8125 Calculate the square root of the right side: 0.901387819 Break this problem into two subproblems by setting (x + 1.25) equal to 0.901387819 and -0.901387819.Subproblem 1
x + 1.25 = 0.901387819 Simplifying x + 1.25 = 0.901387819 Reorder the terms: 1.25 + x = 0.901387819 Solving 1.25 + x = 0.901387819 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 = 0.901387819 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 0.901387819 + -1.25 x = 0.901387819 + -1.25 Combine like terms: 0.901387819 + -1.25 = -0.348612181 x = -0.348612181 Simplifying x = -0.348612181Subproblem 2
x + 1.25 = -0.901387819 Simplifying x + 1.25 = -0.901387819 Reorder the terms: 1.25 + x = -0.901387819 Solving 1.25 + x = -0.901387819 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 = -0.901387819 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -0.901387819 + -1.25 x = -0.901387819 + -1.25 Combine like terms: -0.901387819 + -1.25 = -2.151387819 x = -2.151387819 Simplifying x = -2.151387819Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.348612181, -2.151387819}
| p+29=106 | | 2x-9y=-34 | | 2(4+x)+2x=68 | | y=-15+-2x+x^2 | | n^2+12=0 | | -35s+71=21s+43 | | -9x^2-6x-1= | | 87=40+x | | 8w+2(7-w)-2w= | | 48+w=75 | | (29b-3)-7(4b+1)=-2 | | 35+.50t=52 | | c+6=11 | | 3h+113=1247 | | 4x+32y=24 | | 6y-27=6y+9 | | 2.6(j-1)+.7=1.2(3-j)+.2 | | 0.50x+0.65(70)=0.25(144) | | 2x+6y=-40 | | 8-5x+10+4x+2x-2=11+4*3 | | (2a+4b)(2a+4b)= | | -6(2x-6)+2=-12x+38 | | (2x-3y)(2x-3y)= | | -15-4x=6 | | (ab+2c)(ab-3c)= | | .5(4d+3)-2.6=1.5d | | 18+5=8x | | 13/7r-4=6/7r | | (16b-9)-5(3b+1)=-6 | | 4t^2+45=3t^2+9 | | 4/x-2=4 | | -3(6p+5)-2(1-17p)=3(4+5p) |