-4x^2-7x-47=-47

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Solution for -4x^2-7x-47=-47 equation:


Simplifying
-4x2 + -7x + -47 = -47

Reorder the terms:
-47 + -7x + -4x2 = -47

Add '47' to each side of the equation.
-47 + -7x + 47 + -4x2 = -47 + 47

Reorder the terms:
-47 + 47 + -7x + -4x2 = -47 + 47

Combine like terms: -47 + 47 = 0
0 + -7x + -4x2 = -47 + 47
-7x + -4x2 = -47 + 47

Combine like terms: -47 + 47 = 0
-7x + -4x2 = 0

Solving
-7x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(7 + 4x) = 0

Ignore the factor -1.

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 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 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 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75

Solution

x = {0, -1.75}

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