-7=20x^2+33x

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Solution for -7=20x^2+33x equation:


Simplifying
-7 = 20x2 + 33x

Reorder the terms:
-7 = 33x + 20x2

Solving
-7 = 33x + 20x2

Solving for variable 'x'.

Reorder the terms:
-7 + -33x + -20x2 = 33x + -33x + 20x2 + -20x2

Combine like terms: 33x + -33x = 0
-7 + -33x + -20x2 = 0 + 20x2 + -20x2
-7 + -33x + -20x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
-7 + -33x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 33x + 20x2) = 0

Factor a trinomial.
-1((7 + 5x)(1 + 4x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 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 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4

Subproblem 2

Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25

Solution

x = {-1.4, -0.25}

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