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Simplifying (x + -4)(x + -3) = x2 + 7x + 12 Reorder the terms: (-4 + x)(x + -3) = x2 + 7x + 12 Reorder the terms: (-4 + x)(-3 + x) = x2 + 7x + 12 Multiply (-4 + x) * (-3 + x) (-4(-3 + x) + x(-3 + x)) = x2 + 7x + 12 ((-3 * -4 + x * -4) + x(-3 + x)) = x2 + 7x + 12 ((12 + -4x) + x(-3 + x)) = x2 + 7x + 12 (12 + -4x + (-3 * x + x * x)) = x2 + 7x + 12 (12 + -4x + (-3x + x2)) = x2 + 7x + 12 Combine like terms: -4x + -3x = -7x (12 + -7x + x2) = x2 + 7x + 12 Reorder the terms: 12 + -7x + x2 = 12 + 7x + x2 Add '-12' to each side of the equation. 12 + -7x + -12 + x2 = 12 + 7x + -12 + x2 Reorder the terms: 12 + -12 + -7x + x2 = 12 + 7x + -12 + x2 Combine like terms: 12 + -12 = 0 0 + -7x + x2 = 12 + 7x + -12 + x2 -7x + x2 = 12 + 7x + -12 + x2 Reorder the terms: -7x + x2 = 12 + -12 + 7x + x2 Combine like terms: 12 + -12 = 0 -7x + x2 = 0 + 7x + x2 -7x + x2 = 7x + x2 Add '-1x2' to each side of the equation. -7x + x2 + -1x2 = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x + 0 = 7x + x2 + -1x2 -7x = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x = 7x + 0 -7x = 7x Solving -7x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7x + -7x = 7x + -7x Combine like terms: -7x + -7x = -14x -14x = 7x + -7x Combine like terms: 7x + -7x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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