5x*x+8x+7x*x+6x=

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Solution for 5x*x+8x+7x*x+6x= equation:


Simplifying
5x * x + 8x + 7x * x + 6x = 0

Multiply x * x
5x2 + 8x + 7x * x + 6x = 0

Multiply x * x
5x2 + 8x + 7x2 + 6x = 0

Reorder the terms:
8x + 6x + 5x2 + 7x2 = 0

Combine like terms: 8x + 6x = 14x
14x + 5x2 + 7x2 = 0

Combine like terms: 5x2 + 7x2 = 12x2
14x + 12x2 = 0

Solving
14x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(7 + 6x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 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 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667

Solution

x = {0, -1.166666667}

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