28x^2+68x+40=0

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Solution for 28x^2+68x+40=0 equation:


Simplifying
28x2 + 68x + 40 = 0

Reorder the terms:
40 + 68x + 28x2 = 0

Solving
40 + 68x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(10 + 17x + 7x2) = 0

Factor a trinomial.
4((10 + 7x)(1 + x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(10 + 7x)' equal to zero and attempt to solve: Simplifying 10 + 7x = 0 Solving 10 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 0 + -10 7x = 0 + -10 Combine like terms: 0 + -10 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-1.428571429, -1}

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