0=7x^2+50x+7

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Solution for 0=7x^2+50x+7 equation:


Simplifying
0 = 7x2 + 50x + 7

Reorder the terms:
0 = 7 + 50x + 7x2

Solving
0 = 7 + 50x + 7x2

Solving for variable 'x'.

Combine like terms: 0 + -7 = -7
-7 + -50x + -7x2 = 7 + 50x + 7x2 + -7 + -50x + -7x2

Reorder the terms:
-7 + -50x + -7x2 = 7 + -7 + 50x + -50x + 7x2 + -7x2

Combine like terms: 7 + -7 = 0
-7 + -50x + -7x2 = 0 + 50x + -50x + 7x2 + -7x2
-7 + -50x + -7x2 = 50x + -50x + 7x2 + -7x2

Combine like terms: 50x + -50x = 0
-7 + -50x + -7x2 = 0 + 7x2 + -7x2
-7 + -50x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-7 + -50x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 50x + 7x2) = 0

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

Ignore the factor -1.

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429

Solution

x = {-7, -0.1428571429}

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