x=4x^2+15x

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Solution for x=4x^2+15x equation:


Simplifying
x = 4x2 + 15x

Reorder the terms:
x = 15x + 4x2

Solving
x = 15x + 4x2

Solving for variable 'x'.

Combine like terms: x + -15x = -14x
-14x + -4x2 = 15x + 4x2 + -15x + -4x2

Reorder the terms:
-14x + -4x2 = 15x + -15x + 4x2 + -4x2

Combine like terms: 15x + -15x = 0
-14x + -4x2 = 0 + 4x2 + -4x2
-14x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-14x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(7 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5

Solution

x = {0, -3.5}

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