If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10x2 + 29x + -42 = 0 Reorder the terms: -42 + 29x + 10x2 = 0 Solving -42 + 29x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. -4.2 + 2.9x + x2 = 0 Move the constant term to the right: Add '4.2' to each side of the equation. -4.2 + 2.9x + 4.2 + x2 = 0 + 4.2 Reorder the terms: -4.2 + 4.2 + 2.9x + x2 = 0 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 2.9x + x2 = 0 + 4.2 2.9x + x2 = 0 + 4.2 Combine like terms: 0 + 4.2 = 4.2 2.9x + x2 = 4.2 The x term is 2.9x. Take half its coefficient (1.45). Square it (2.1025) and add it to both sides. Add '2.1025' to each side of the equation. 2.9x + 2.1025 + x2 = 4.2 + 2.1025 Reorder the terms: 2.1025 + 2.9x + x2 = 4.2 + 2.1025 Combine like terms: 4.2 + 2.1025 = 6.3025 2.1025 + 2.9x + x2 = 6.3025 Factor a perfect square on the left side: (x + 1.45)(x + 1.45) = 6.3025 Calculate the square root of the right side: 2.510478042 Break this problem into two subproblems by setting (x + 1.45) equal to 2.510478042 and -2.510478042.Subproblem 1
x + 1.45 = 2.510478042 Simplifying x + 1.45 = 2.510478042 Reorder the terms: 1.45 + x = 2.510478042 Solving 1.45 + x = 2.510478042 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.45' to each side of the equation. 1.45 + -1.45 + x = 2.510478042 + -1.45 Combine like terms: 1.45 + -1.45 = 0.00 0.00 + x = 2.510478042 + -1.45 x = 2.510478042 + -1.45 Combine like terms: 2.510478042 + -1.45 = 1.060478042 x = 1.060478042 Simplifying x = 1.060478042Subproblem 2
x + 1.45 = -2.510478042 Simplifying x + 1.45 = -2.510478042 Reorder the terms: 1.45 + x = -2.510478042 Solving 1.45 + x = -2.510478042 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.45' to each side of the equation. 1.45 + -1.45 + x = -2.510478042 + -1.45 Combine like terms: 1.45 + -1.45 = 0.00 0.00 + x = -2.510478042 + -1.45 x = -2.510478042 + -1.45 Combine like terms: -2.510478042 + -1.45 = -3.960478042 x = -3.960478042 Simplifying x = -3.960478042Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.060478042, -3.960478042}
| 27=12x | | 252=11x+10 | | X+65=92 | | 5=-2x^2+x^2 | | X^2+2x-55= | | 5/3z=20 | | 14j*(i+6j)= | | 2n^2+7=159 | | 6p+2(-2p)= | | 3/2(2x+1)-2=x+1/2 | | 2y^2+y+6=0 | | (x-3)(2x+5)(x-1)=0 | | 3c+58=87 | | 6(3(0.5)+2)-9=-6 | | -5n^2+15=0 | | 0.36-0.09= | | 5-4+7x+1=2x+2x | | (3y-5w)(3y+7w-7)= | | 5-4+7x+1=8x+6x | | 5-4+7x+1=8x+2x | | 3•9/4 | | 5-4+7x+1=6x+2x | | -3y=-8y+15 | | 5-4+7x+1=4x+2 | | 5r-30=105 | | 5-4+7x+1=3x+1 | | z^4+(4-2i)z^2-8i=0 | | 190-40h=55 | | n^2-8n+16=6 | | 5x+14=4x+4 | | 8-(4x+1)=5-5x | | (8x-5)(x+17)=0 |