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Simplifying 4x + -5 = (2x)(x + 2) + 7 Reorder the terms: -5 + 4x = (2x)(x + 2) + 7 Remove parenthesis around (2x) -5 + 4x = 2x(x + 2) + 7 Reorder the terms: -5 + 4x = 2x(2 + x) + 7 -5 + 4x = (2 * 2x + x * 2x) + 7 -5 + 4x = (4x + 2x2) + 7 Reorder the terms: -5 + 4x = 7 + 4x + 2x2 Add '-4x' to each side of the equation. -5 + 4x + -4x = 7 + 4x + -4x + 2x2 Combine like terms: 4x + -4x = 0 -5 + 0 = 7 + 4x + -4x + 2x2 -5 = 7 + 4x + -4x + 2x2 Combine like terms: 4x + -4x = 0 -5 = 7 + 0 + 2x2 -5 = 7 + 2x2 Solving -5 = 7 + 2x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x2' to each side of the equation. -5 + -2x2 = 7 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + -2x2 = 7 + 0 -5 + -2x2 = 7 Add '5' to each side of the equation. -5 + 5 + -2x2 = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -2x2 = 7 + 5 -2x2 = 7 + 5 Combine like terms: 7 + 5 = 12 -2x2 = 12 Divide each side by '-2'. x2 = -6 Simplifying x2 = -6 Reorder the terms: 6 + x2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + x2 = 0 The solution to this equation could not be determined.
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