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Simplifying 10x2 + 31x = -15 Reorder the terms: 31x + 10x2 = -15 Solving 31x + 10x2 = -15 Solving for variable 'x'. Reorder the terms: 15 + 31x + 10x2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 31x + 10x2 = 0 Factor a trinomial. (5 + 2x)(3 + 5x) = 0Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-2.5, -0.6}
| x+5=-2x-2 | | 4y-3=2+27 | | 3(5x+6)=-12 | | 1/4a=48 | | -3(4x+3)+4(8x+2)=33 | | 7m+3=78 | | -14-2r=16-4r | | -8(x+3)-4=-8x-24 | | 3y+10=2+7 | | -7-34= | | 11x=8x-7 | | X^2-41x+288=0 | | X=84(17/100) | | 20+17-13m=-9m-19 | | 12x-5-10x=5 | | 4y=2+13 | | 2(3a+3b)+5(a+b)= | | 2x-5=40-7x | | 84(17/100) | | 8-42= | | X^4-41x^2+288=0 | | 18+18u=16u | | -5(1-5x)+5(-4x-2)=-5 | | ln(.666)=ln(a)+k*ln(.05) | | -7.358=-1.3(0.8R+7.9) | | 6n+21=12-15 | | 13-(6)= | | 2x+18=x-9 | | -8(6+5x)=3 | | 2x*3x=78 | | 6x+6=2(x+3) | | -7358=-1.3(0.8R+7.9) |